Relevant bibliographies by topics / Analysis on metric spaces

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Analysis on metric spaces'

Author: Grafiati
Published: 4 June 2021
Last updated: 9 March 2023

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Journal articles on the topic "Analysis on metric spaces"

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Beg, Ismat. "Ordered Convex Metric Spaces." Journal of Function Spaces 2021 (October 25, 2021): 1–4. http://dx.doi.org/10.1155/2021/7552451.

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The aim of this article is to introduce a new notion of ordered convex metric spaces and study some basic properties of these spaces. Several characterizations of these spaces are proven that allow making geometric interpretations of the new concepts.
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Lu, Yufeng, Dachun Yang, and Wen Yuan. "Morrey-Sobolev Spaces on Metric Measure Spaces." Potential Analysis 41, no. 1 (September 11, 2013): 215–43. http://dx.doi.org/10.1007/s11118-013-9370-9.

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Bonk, Mario, Luca Capogna, Piotr Hajlasz, Nageswari Shanmugalingam, and Jeremy T. Tyson. "Analysis in Metric Spaces." Notices of the American Mathematical Society 67, no. 02 (February 1, 2020): 1. http://dx.doi.org/10.1090/noti2030.

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Hussain, Aftab, Hamed Al Sulami, and Umar Ishtiaq. "Some New Aspects in the Intuitionistic Fuzzy and Neutrosophic Fixed Point Theory." Journal of Function Spaces 2022 (March 3, 2022): 1–14. http://dx.doi.org/10.1155/2022/3138740.

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In this manuscript, we use the concepts of continuous t-norms and continuous t-conorms to introduce some definitions, in which intuitionistic fuzzy rectangular metric spaces, intuitionistic fuzzy rectangular metric-like spaces, intuitionistic fuzzy rectangular b-metric spaces, intuitionistic fuzzy rectangular b-metric-like spaces, neutrosophic rectangular metric spaces, neutrosophic rectangular metric-like spaces, neutrosophic rectangular b-metric spaces, and neutrosophic rectangular b-metric-like spaces are included. Continuous t-norms and continuous t-conorms are used to generalize the probability distribution of triangular inequalities in metric space axioms. Nontrivial examples, some fixed point results, and an application to the integral equation are imparted in this manuscript.
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EASWARAMOORTHY, D., and R. UTHAYAKUMAR. "ANALYSIS ON FRACTALS IN FUZZY METRIC SPACES." Fractals 19, no. 03 (September 2011): 379–86. http://dx.doi.org/10.1142/s0218348x11005543.

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In this paper, we investigate the fractals generated by the iterated function system of fuzzy contractions in the fuzzy metric spaces by generalizing the Hutchinson-Barnsley theory. We prove some existence and uniqueness theorems of fractals in the standard fuzzy metric spaces by using the fuzzy Banach contraction theorem. In addition to that, we discuss some results on fuzzy fractals such as Collage Theorem and Falling Leaves Theorem in the standard fuzzy metric spaces with respect to the standard Hausdorff fuzzy metrics.
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Naimpally, S. A., Z. Piotrowski, and E. J. Wingler. "Plasticity in metric spaces." Journal of Mathematical Analysis and Applications 313, no. 1 (January 2006): 38–48. http://dx.doi.org/10.1016/j.jmaa.2005.04.070.

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Hussain, Aftab, Umar Ishtiaq, Khalil Ahmed, and Hamed Al-Sulami. "On Pentagonal Controlled Fuzzy Metric Spaces with an Application to Dynamic Market Equilibrium." Journal of Function Spaces 2022 (January 11, 2022): 1–8. http://dx.doi.org/10.1155/2022/5301293.

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In this manuscript, we coined pentagonal controlled fuzzy metric spaces and fuzzy controlled hexagonal metric space as generalizations of fuzzy triple controlled metric spaces and fuzzy extended hexagonal b-metric spaces. We use a control function in fuzzy controlled hexagonal metric space and introduce five noncomparable control functions in pentagonal controlled fuzzy metric spaces. In the scenario of pentagonal controlled fuzzy metric spaces, we prove the Banach fixed point theorem, which generalizes the Banach fixed point theorem for the aforementioned spaces. An example is offered to support our main point. We also presented an application to dynamic market equilibrium.
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Yonghui, Cao, and Zhou Jiang. "Morrey Spaces for Nonhomogeneous Metric Measure Spaces." Abstract and Applied Analysis 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/196459.

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The authors give a definition of Morrey spaces for nonhomogeneous metric measure spaces and investigate the boundedness of some classical operators including maximal operator, fractional integral operator, and Marcinkiewicz integral operators.
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Puvar, Sejal V., and R. G. Vyas. "´CIRI´C-TYPE RESULTS IN QUASI-METRIC SPACES AND 𝐺-METRIC SPACES USING SIMULATION FUNCTION." Issues of Analysis 29, no. 2 (June 2022): 72–90. http://dx.doi.org/10.15393/j3.art.2022.11230.

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Li, Shu-Fang, Fei He, and Shu-Min Lu. "Kaleva-Seikkala’s Type Fuzzy b -Metric Spaces and Several Contraction Mappings." Journal of Function Spaces 2022 (July 23, 2022): 1–13. http://dx.doi.org/10.1155/2022/2714912.

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In this paper, we introduce the concept of Kaleva-Seikkala’s type fuzzy b -metric spaces as a generalization of the notion of b -metric spaces and fuzzy metric spaces. In such spaces, we establish Banach type, Reich type, and Chatterjea type fixed-point theorems, which improve the relevant results in fuzzy metric spaces. Two technical lemmas are employed to ensure that a Picard sequence is a Cauchy sequence. Finally, various applications are given to testify the fact that our main theorems extend the cases of b -metric spaces.
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Dissertations / Theses on the topic "Analysis on metric spaces"

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Paulik, Gustav. "Gluing spaces and analysis." Bonn : Mathematisches Institut der Universität, 2005. http://catalog.hathitrust.org/api/volumes/oclc/62770010.html.

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Capolli, Marco. "Selected Topics in Analysis in Metric Measure Spaces." Doctoral thesis, Università degli studi di Trento, 2021. http://hdl.handle.net/11572/288526.

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The thesis is composed by three sections, each devoted to the study of a specific problem in the setting of PI spaces. The problem analyzed are: a C^m Lusin approximation result for horizontal curves in the Heisenberg group, a limit result in the spirit of Burgain-Brezis-Mironescu for Orlicz-Sobolev spaces in Carnot groups and the differentiability of Lipschitz functions in Laakso spaces.
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Tirado, Peláez Pedro. "Contractive Maps and Complexity Analysis in Fuzzy Quasi-Metric Spaces." Doctoral thesis, Universitat Politècnica de València, 2008. http://hdl.handle.net/10251/2961.

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En los últimos años se ha desarrollado una teoría matemática con propiedades robustas con el fin de fundamentar la Ciencia de la Computación. En este sentido, un avance significativo lo constituye el establecimiento de modelos matemáticos que miden la "distancia" entre programas y entre algoritmos, analizados según su complejidad computacional. En 1995, M. Schellekens inició el desarrollo de un modelo matemático para el análisis de la complejidad algorítmica basado en la construcción de una casi-métrica definida en el espacio de las funciones de complejidad, proporcionando una interpretación computacional adecuada del hecho de que un programa o algoritmo sea más eficiente que otro en todos su "inputs". Esta información puede extraerse en virtud del carácter asimétrico del modelo. Sin embargo, esta estructura no es aplicable al análisis de algoritmos cuya complejidad depende de dos parámetros. Por tanto, en esta tesis introduciremos un nuevo espacio casi-métrico de complejidad que proporcionará un modelo útil para el análisis de este tipo de algoritmos. Por otra parte, el espacio casi-métrico de complejidad no da una interpretación computacional del hecho de que un programa o algoritmo sea "sólo" asintóticamente más eficiente que otro. Los espacios casi-métricos difusos aportan un parámetro "t", cuya adecuada utilización puede originar una información extra sobre el proceso computacional a estudiar; por ello introduciremos la noción de casi-métrica difusa de complejidad, que proporciona un modelo satisfactorio para interpretar la eficiencia asintótica de las funciones de complejidad. En este contexto extenderemos los principales teoremas de punto fijo en espacios métricos difusos , utilizando una determinada noción de completitud, y obtendremos otros nuevos. Algunos de estos teoremas también se establecerán en el contexto general de los espacios casi-métricos difusos intuicionistas, de lo que resultarán condiciones de contracción menos fuertes. Los resultados obt
Tirado Peláez, P. (2008). Contractive Maps and Complexity Analysis in Fuzzy Quasi-Metric Spaces [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/2961
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Chowdhury, Samir. "Metric and Topological Approaches to Network Data Analysis." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1555420352147114.

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Lopez, Marcos D. "Discrete Approximations of Metric Measure Spaces with Controlled Geometry." University of Cincinnati / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1439305529.

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Le, Brigant Alice. "Probability on the spaces of curves and the associated metric spaces via information geometry; radar applications." Thesis, Bordeaux, 2017. http://www.theses.fr/2017BORD0640/document.

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Nous nous intéressons à la comparaison de formes de courbes lisses prenant leurs valeurs dans une variété riemannienne M. Dans ce but, nous introduisons une métrique riemannienne invariante par reparamétrisations sur la variété de dimension infinie des immersions lisses dans M. L’équation géodésique est donnée et les géodésiques entre deux courbes sont construites par tir géodésique. La structure quotient induite par l’action du groupe des reparamétrisations sur l’espace des courbes est étudiée. À l’aide d’une décomposition canonique d’un chemin dans un fibré principal, nous proposons un algorithme qui construit la géodésique horizontale entre deux courbes et qui fournit un matching optimal. Dans un deuxième temps, nous introduisons une discrétisation de notre modèle qui est elle-même une structure riemannienne sur la variété de dimension finie Mn+1 des "courbes discrètes" définies par n + 1 points, où M est de courbure sectionnelle constante. Nous montrons la convergence du modèle discret vers le modèle continu, et nous étudions la géométrie induite. Des résultats de simulations dans la sphère, le plan et le demi-plan hyperbolique sont donnés. Enfin, nous donnons le contexte mathématique nécessaire à l’application de l’étude de formes dans une variété au traitement statistique du signal radar, où des signaux radars localement stationnaires sont représentés par des courbes dans le polydisque de Poincaré via la géométrie de l’information
We are concerned with the comparison of the shapes of open smooth curves that take their values in a Riemannian manifold M. To this end, we introduce a reparameterization invariant Riemannian metric on the infinite-dimensional manifold of these curves, modeled by smooth immersions in M. We derive the geodesic equation and solve the boundary value problem using geodesic shooting. The quotient structure induced by the action of the reparametrization group on the space of curves is studied. Using a canonical decomposition of a path in a principal bundle, we propose an algorithm that computes the horizontal geodesic between two curves and yields an optimal matching. In a second step, restricting to base manifolds of constant sectional curvature, we introduce a detailed discretization of the Riemannian structure on the space of smooth curves, which is itself a Riemannian metric on the finite-dimensional manifold Mn+1 of "discrete curves" given by n + 1 points. We show the convergence of the discrete model to the continuous model, and study the induced geometry. We show results of simulations in the sphere, the plane, and the hyperbolic halfplane. Finally, we give the necessary framework to apply shape analysis of manifold-valued curves to radar signal processing, where locally stationary radar signals are represented by curves in the Poincaré polydisk using information geometry
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Peske, Wendy Ann. "A topological approach to nonlinear analysis." CSUSB ScholarWorks, 2005. https://scholarworks.lib.csusb.edu/etd-project/2779.

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A topological approach to nonlinear analysis allows for strikingly beautiful proofs and simplified calculations. This topological approach employs many of the ideas of continuous topology, including convergence, compactness, metrization, complete metric spaces, uniform spaces and function spaces. This thesis illustrates using the topological approach in proving the Cauchy-Peano Existence theorem. The topological proof utilizes the ideas of complete metric spaces, Ascoli-Arzela theorem, topological properties in Euclidean n-space and normed linear spaces, and the extension of Brouwer's fixed point theorem to Schauder's fixed point theorem, and Picard's theorem.
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Malý, Lukáš. "Newtonian Spaces Based on Quasi-Banach Function Lattices." Licentiate thesis, Linköpings universitet, Matematik och tillämpad matematik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-79166.

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The traditional first-order analysis in Euclidean spaces relies on the Sobolev spaces W1,p(Ω), where Ω ⊂ Rn is open and p ∈ [1, ∞].The Sobolev norm is then defined as the sum of Lp norms of a function and its distributional gradient.We generalize the notion of Sobolev spaces in two different ways. First, the underlying function norm will be replaced by the “norm” of a quasi-Banach function lattice. Second, we will investigate functions defined on an abstract metric measure space and that is why the distributional gradients need to be substituted. The thesis consists of two papers. The first one builds up the elementary theory of Newtonian spaces based on quasi-Banach function lattices. These lattices are complete linear spaces of measurable functions with a topology given by a quasinorm satisfying the lattice property. Newtonian spaces are first-order Sobolev-type spaces on abstract metric measure spaces, where the role of weak derivatives is passed on to upper gradients. Tools such asmoduli of curve families and the Sobolev capacity are developed, which allows us to study basic properties of the Newtonian functions.We will see that Newtonian spaces can be equivalently defined using the notion of weak upper gradients, which increases the number of techniques available to study these spaces. The absolute continuity of Newtonian functions along curves and the completeness of Newtonian spaces in this general setting are also established. The second paper in the thesis then continues with investigation of properties of Newtonian spaces based on quasi-Banach function lattices. The set of all weak upper gradients of a Newtonian function is of particular interest.We will prove that minimalweak upper gradients exist in this general setting.Assuming that Lebesgue’s differentiation theoremholds for the underlyingmetricmeasure space,wewill find a family of representation formulae. Furthermore, the connection between pointwise convergence of a sequence of Newtonian functions and its convergence in norm is studied.
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Tamanini, Luca. "Analysis and Geometry of RCD spaces via the Schrödinger problem." Thesis, Paris 10, 2017. http://www.theses.fr/2017PA100082/document.

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Le but principal de ce manuscrit est celui de présenter une nouvelle méthode d'interpolation entre des probabilités inspirée du problème de Schrödinger, problème de minimisation entropique ayant des liens très forts avec le transport optimal. À l'aide de solutions au problème de Schrödinger, nous obtenons un schéma d'approximation robuste jusqu'au deuxième ordre et différent de Brenier-McCann qui permet d'établir la formule de dérivation du deuxième ordre le long des géodésiques Wasserstein dans le cadre de espaces RCD* de dimension finie. Cette formule était inconnue même dans le cadre des espaces d'Alexandrov et nous en donnerons quelques applications. La démonstration utilise un ensemble remarquable de nouvelles propriétés pour les solutions au problème de Schrödinger dynamique :- une borne uniforme des densités le long des interpolations entropiques ;- la lipschitzianité uniforme des potentiels de Schrödinger ;- un contrôle L2 uniforme des accélérations. Ces outils sont indispensables pour explorer les informations géométriques encodées par les interpolations entropiques. Les techniques utilisées peuvent aussi être employées pour montrer que la solution visqueuse de l'équation d'Hamilton-Jacobi peut être récupérée à travers une méthode de « vanishing viscosity », comme dans le cas lisse.Dans tout le manuscrit, plusieurs remarques sur l'interprétation physique du problème de Schrödinger seront mises en lumière. Cela pourra aider le lecteur à mieux comprendre les motivations probabilistes et physiques du problème, ainsi qu'à les connecter avec la nature analytique et géométrique de la dissertation
Main aim of this manuscript is to present a new interpolation technique for probability measures, which is strongly inspired by the Schrödinger problem, an entropy minimization problem deeply related to optimal transport. By means of the solutions to the Schrödinger problem, we build an efficient approximation scheme, robust up to the second order and different from Brenier-McCann's classical one. Such scheme allows us to prove the second order differentiation formula along geodesics in finite-dimensional RCD* spaces. This formula is new even in the context of Alexandrov spaces and we provide some applications.The proof relies on new, even in the smooth setting, estimates concerning entropic interpolations which we believe are interesting on their own. In particular we obtain:- equiboundedness of the densities along the entropic interpolations,- equi-Lipschitz continuity of the Schrödinger potentials,- a uniform weighted L2 control of the Hessian of such potentials. These tools are very useful in the investigation of the geometric information encoded in entropic interpolations. The techniques used in this work can be also used to show that the viscous solution of the Hamilton-Jacobi equation can be obtained via a vanishing viscosity method, in accordance with the smooth case. Throughout the whole manuscript, several remarks on the physical interpretation of the Schrödinger problem are pointed out. Hopefully, this will allow the reader to better understand the physical and probabilistic motivations of the problem as well as to connect them with the analytical and geometric nature of the dissertation
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Don, Sebastiano. "Functions of bounded variation in Carnot-Carathéodory spaces." Doctoral thesis, Università degli studi di Padova, 2019. http://hdl.handle.net/11577/3426813.

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We study properties of functions with bounded variation in Carnot-Carathéodory spaces. In Chapter 2 we prove their almost everywhere approximate differentiability and we examine their approximate discontinuity set and the decomposition of their distributional derivatives. Under an additional assumption on the space, called property R, we show that almost all approximate discontinuities are of jump type and we study a representation formula for the jump part of the derivative. In Chapter 3 we prove a rank-one theorem à la G. Alberti for the derivatives of vector-valued maps with bounded variation in a class of Carnot groups that includes all Heisenberg groups H^n with n ≥ 2. Some important tools for the proof are properties linking the horizontal derivatives of a real-valued function with bounded variation to its subgraph. In Chapter 4 we prove a compactness result for bounded sequences (u_j) of functions with bounded variation in metric spaces (X, d_j) where the space X is fixed, but the metric may vary with j. We also provide an application to Carnot-Carathéodory spaces. The results of Chapter 4 are fundamental for the proofs of some facts of Chapter 2.
Analizziamo alcune proprietà di funzioni a variazione limitata in spazi di Carnot-Carathéodory. Nel Capitolo 2 dimostriamo che esse sono approssimativamente differenziabili quasi ovunque, esaminiamo il loro insieme di discontinuità approssimata e la decomposizione della loro derivata distribuzionale. Assumendo un'ipotesi addizionale sullo spazio, che chiamiamo proprietà R, mostriamo che quasi tutti i punti di discontinuità approssimata sono di salto e studiamo una formula per la parte di salto della derivata. Nel Capitolo 3 dimostriamo un teorema di rango uno à la G. Alberti per la derivata distribuzionale di funzioni vettoriali a variazione limitata in una classe di gruppi di Carnot che contiene tutti i gruppi di Heisenberg H^n con n ≥ 2. Uno strumento chiave nella dimostrazione è costituito da alcune proprietà che legano le derivate orizzontali di una funzione a variazione limitata con il suo sottografico. Nel Capitolo 4 dimostriamo un risultato di compattezza per succesioni (u_j) equi-limitate in spazi metrici (X, d_j) quando lo spazio X è fissato ma la metrica può variare con j. Mostriamo inoltre un'applicazione agli spazi di Carnot-Carathéodory. I risultati del Capitolo 4 sono fondamentali per la dimostrazione di alcuni fatti contenuti nel Capitolo 2.
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Books on the topic "Analysis on metric spaces"

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Heinonen, Juha. Lectures on Analysis on Metric Spaces. New York, NY: Springer New York, 2001.

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Heinonen, Juha. Lectures on Analysis on Metric Spaces. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0131-8.

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Paolo, Tilli, ed. Topics on analysis in metric spaces. Oxford: Oxford University Press, 2004.

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Introduction to the analysis of metric spaces. Cambridge [Cambridgeshire]: Cambridge University Press, 1987.

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Endre, Pap, ed. Fixed point theory in probabilistic metric spaces. Dordrecht: Kluwer Academic, 2001.

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Bačák, Miroslav. Convex analysis and optimization in Hadamard spaces. Berlin: Walter de Gruyter GmbH & Co. KG, 2014.

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Baudoin, Fabrice, Séverine Rigot, Giuseppe Savaré, and Nageswari Shanmugalingam. New Trends on Analysis and Geometry in Metric Spaces. Edited by Luigi Ambrosio, Bruno Franchi, Irina Markina, and Francesco Serra Cassano. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-84141-6.

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Kigami, Jun. Geometry and Analysis of Metric Spaces via Weighted Partitions. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-54154-5.

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Lakshmikantham, V. Theory of set differential equations in metric spaces. Cambridge, UK: Cambridge Scientific Publishers, 2006.

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Auscher, Pascal, Thierry Coulhon, and Alexander Grigor’yan, eds. Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces. Providence, Rhode Island: American Mathematical Society, 2003. http://dx.doi.org/10.1090/conm/338.

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Book chapters on the topic "Analysis on metric spaces"

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Şuhubi, Erdoğan S. "Metric Spaces." In Functional Analysis, 261–356. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0141-9_5.

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Gasiński, Leszek, and Nikolaos S. Papageorgiou. "Metric Spaces." In Exercises in Analysis, 1–191. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06176-4_1.

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Sohrab, Houshang H. "Metric Spaces." In Basic Real Analysis, 157–207. Boston, MA: Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-0-8176-8232-3_5.

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Sohrab, Houshang H. "Metric Spaces." In Basic Real Analysis, 181–239. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-1841-6_5.

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Kane, Jonathan M. "Metric Spaces." In Writing Proofs in Analysis, 295–340. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30967-5_10.

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Botelho, Fabio Silva. "Metric Spaces." In Real Analysis and Applications, 51–64. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-78631-5_2.

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Howes, Norman R. "Metric Spaces." In Modern Analysis and Topology, 1–42. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-0833-4_1.

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Montesinos, Vicente, Peter Zizler, and Václav Zizler. "Metric Spaces." In An Introduction to Modern Analysis, 283–338. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12481-0_6.

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Rolewicz, Stefan. "Metric spaces." In Functional Analysis and Control Theory, 1–54. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-015-7758-8_1.

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Schinazi, Rinaldo B. "Metric Spaces." In From Classical to Modern Analysis, 115–35. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94583-5_7.

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Conference papers on the topic "Analysis on metric spaces"

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Altintas, Ismet, Dagistan Simsek, and Kemal Taskopru. "Topology of soft cone metric spaces." In INTERNATIONAL CONFERENCE “FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS” (FAIA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5000605.

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Goleţ, Ioan, Ciprian Hedrea, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "On Generalized Contractions in Probabilistic Metric Spaces." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636943.

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Castro-Company, Francisco, and Pedro Tirado. "The bicompletion of intuitionistic fuzzy quasi-metric spaces." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756271.

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Castro-Company, Francisco, and Pedro Tirado. "Some classes of t-norms and fuzzy metric spaces." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756272.

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Goleţ, Ioan, and Ionuţ Goleţ. "On Fixed Point Theorems in Probabilistic Metric Spaces and Applications." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990900.

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WU, JIONG-QI. "ON Ψ-MODULUS AND Ψ-CAPACITIES EQUALITIES IN METRIC MEASURE SPACES." In Proceedings of the 13th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812773159_0027.

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Auwalu, Abba, and Ali Denker. "Chatterjea-type fixed point theorem on cone rectangular metric spaces with banach algebras." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0040595.

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Kunze, Lucas Felipe, Thábata Amaral, Leonardo Mauro Pereira Moraes, Jadson José Monteiro Oliveira, Altamir Gomes Bispo Junior, Elaine Parros Machado de Sousa, and Robson Leonardo Ferreira Cordeiro. "Classification Analysis of NDVI Time Series in Metric Spaces for Sugarcane Identification." In 20th International Conference on Enterprise Information Systems. SCITEPRESS - Science and Technology Publications, 2018. http://dx.doi.org/10.5220/0006709401620169.

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Auwalu, Abba. "A note on some fixed point theorems for generalized expansive mappings in cone metric spaces over Banach algebras." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2018). Author(s), 2018. http://dx.doi.org/10.1063/1.5048998.

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Ristianti, Dita Fadma, Sugiyrto Surono, and Joko Eliyanto. "Optimization of Fuzzy Support Vector Machine (FSVM) Model in Multiple Metric Spaces." In 2021 International Conference on Artificial Intelligence and Big Data Analytics (ICAIBDA). IEEE, 2021. http://dx.doi.org/10.1109/icaibda53487.2021.9689703.

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Reports on the topic "Analysis on metric spaces"

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Ganti, Venkatesh, Raghu Ramakrishnan, Johannes Gehrke, Allison Powell, and James French. Clustering Large Datasets in Arbitrary Metric Spaces. Fort Belvoir, VA: Defense Technical Information Center, January 2006. http://dx.doi.org/10.21236/ada447010.

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Clayton, John D., David L. McDowell, and Douglas J. Bammann. Anholonomic Configuration Spaces and Metric Tensors in Finite Elastoplasticity. Fort Belvoir, VA: Defense Technical Information Center, February 2006. http://dx.doi.org/10.21236/ada445112.

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Matei, Ion, Christoforos Somarakis, and John S. Baras. A Randomized Gossip Consenus Algorithm on Convex Metric Spaces. Fort Belvoir, VA: Defense Technical Information Center, January 2012. http://dx.doi.org/10.21236/ada588967.

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Cowlin, Shannon, Donna Heimiller, Jordan Macknick, Margaret Mann, Jacquelyn Pless, and David Munoz. Multi-Metric Sustainability Analysis. Office of Scientific and Technical Information (OSTI), December 2014. http://dx.doi.org/10.2172/1167056.

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Persily, Andrew K. Indoor Carbon Dioxide Metric Analysis Tool. Gaithersburg, MD: National Institute of Standards and Technology, 2022. http://dx.doi.org/10.6028/nist.tn.2213.

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Howe, Adele, and L. D. Whitley. Landscape Analysis and Algorithm Development for Plateau Plagued Search Spaces. Fort Belvoir, VA: Defense Technical Information Center, February 2011. http://dx.doi.org/10.21236/ada547002.

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De Boor, Carl, and Amos Ron. Fourier Analysis of the Approximation Power of Principal Shift-Invariant Spaces. Fort Belvoir, VA: Defense Technical Information Center, July 1991. http://dx.doi.org/10.21236/ada246713.

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Perdigão, Rui A. P. Information physics and quantum space technologies for natural hazard sensing, modelling and prediction. Meteoceanics, September 2021. http://dx.doi.org/10.46337/210930.

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Abstract:
Disruptive socio-natural transformations and climatic change, where system invariants and symmetries break down, defy the traditional complexity paradigms such as machine learning and artificial intelligence. In order to overcome this, we introduced non-ergodic Information Physics, bringing physical meaning to inferential metrics, and a coevolving flexibility to the metrics of information transfer, resulting in new methods for causal discovery and attribution. With this in hand, we develop novel dynamic models and analysis algorithms natively built for quantum information technological platforms, expediting complex system computations and rigour. Moreover, we introduce novel quantum sensing technologies in our Meteoceanics satellite constellation, providing unprecedented spatiotemporal coverage, resolution and lead, whilst using exclusively sustainable materials and processes across the value chain. Our technologies bring out novel information physical fingerprints of extreme events, with recently proven records in capturing early warning signs for extreme hydro-meteorologic events and seismic events, and do so with unprecedented quantum-grade resolution, robustness, security, speed and fidelity in sensing, processing and communication. Our advances, from Earth to Space, further provide crucial predictive edge and added value to early warning systems of natural hazards and long-term predictions supporting climatic security and action.
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Hall, J. Analysis of a Gross Counting Decision Metric for use in Threat Detection During Cargo Container Inspection. Office of Scientific and Technical Information (OSTI), April 2006. http://dx.doi.org/10.2172/889431.

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. Slawianowski, Jan J. Slawianowski, and Barbara Golubowska Golubowska. Bertrand Systems on Spaces of Constant Sectional Curvature. The Action-Angle Analysis. Classical, Quasi-Classical and Quantum Problems. GIQ, 2015. http://dx.doi.org/10.7546/giq-16-2015-110-138.

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