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Rozprawy doktorskie na temat „Generalized Metric Spaces”

Autor: Grafiati

Data publikacji: 5 października 2024

Data aktualizacji: 31 lipca 2025

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1

Sarkis, Ralph. "Lifting Algebraic Reasoning to Generalized Metric Spaces." Electronic Thesis or Diss., Lyon, École normale supérieure, 2024. http://www.theses.fr/2024ENSL0025.

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On retrouve le raisonnement algébrique partout en mathématique et en informatique, et il a déjà été généralisé à pleins de contextes différents. En 2016, Mardare, Panangaden et Plotkin ont introduit les algèbres quantitatives, c'est-à-dire, des espaces métriques équipés d'opérations 1-lipschitzienne relativement à la métrique. Ils ont prouvées des homologues à des résultats importants en algèbre universelle, et en particulier ils ont donné un système de déduction correct et complet qui généralise la logique équationnelle de Birkhoff en remplaçant l'égalité par l'égalité à \varepsilon près. Ça

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2

Miravet, Fortuño David. "GENERALIZED FUZZY METRIC SPACES DEFINED BY MEANS OF T-NORMS." Doctoral thesis, Universitat Politècnica de València, 2019. http://hdl.handle.net/10251/124816.

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[ES] En 1965 L. Zadeh introdujo el concepto de conjunto fuzzy, estableciendo una nueva línea de investigación, conocida como matemática fuzzy. Desde entonces, varios autores han estado investigando la construcción de una definición consistente de espacio métrico fuzzy. En 1994, George y Veeramani introdujeron y estudiaron un concepto de espacio métrico fuzzy, que era una adecuada modificación del concepto dado por Kramosil y Michalek. Estos conceptos han sido estudiados y desarrollados en diversas líneas durante los últimos 25 años. Con la intención de contribuir a este desarrollo de la teoría

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3

Tran, Anh Tuyet. "1p spaces." CSUSB ScholarWorks, 2002. https://scholarworks.lib.csusb.edu/etd-project/2238.

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4

Stares, Ian S. "Extension of functions and generalised metric spaces." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.386678.

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5

Babus, Octavian Vladut. "Generalised distributivity and the logic of metric spaces." Thesis, University of Leicester, 2016. http://hdl.handle.net/2381/37701.

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The aim of the thesis is to work towards a many-valued logic over a commutative unital quantale and, at the same time, towards a generalisation of coalgebraic logic enriched over a commutative unital quantale Ω. This is done by noticing that the contravariant powerset adjunction can be generalised to categories enriched over a commutative unital quantale. From here we define categorical algebras for the monad generated by this adjunction. We finish by showing that these categorical algebras are algebras over Set with operations and equations, and show that in some cases we can restrict the ari

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6

Shi, Xiaohui. "Graev Metrics and Isometry Groups of Polish Ultrametric Spaces." Thesis, University of North Texas, 2013. https://digital.library.unt.edu/ark:/67531/metadc271898/.

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This dissertation presents results about computations of Graev metrics on free groups and characterizes isometry groups of countable noncompact Heine-Borel Polish ultrametric spaces. In Chapter 2, computations of Graev metrics are performed on free groups. One of the related results answers an open question of Van Den Dries and Gao. In Chapter 3, isometry groups of countable noncompact Heine-Borel Polish ultrametric spaces are characterized. The notion of generalized tree is defined and a correspondence between the isomorphism group of a generalized tree and the isometry group of a Heine-Borel

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7

Ivana, Štajner-Papuga. "Uopštena konvolucija." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2001. https://www.cris.uns.ac.rs/record.jsf?recordId=5987&source=NDLTD&language=en.

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U ovoj tezi je definisana uop&scaron;tena konvolucija koja pripada domenu pseudo-analize i ima veliku primenu u mnogim matematičkim teorijama, npr. u proba-bilističkim metričkim prostorima, PDJ, teorijama odlučivanja, sistema, kontrole i fazi brojeva. Dokazane su bitne osobine ove operacije sa funkcijama. Dokazana je veza izmedju pseudo-konvolucija baziranih na poluprstenima različitih klasa Definisana je (5, C/)-konvolucija bazirana na uslovno distributivnom poluprstenu ([0,1], S, U)).Dat je jo&scaron; jedan vid uop&scaron;tenja konvolucije baziran na uop&scaron;tenim pseudo-operacijama.<br>I

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8

Jelena, Stojanov. "Anisotropic frameworks for dynamical systems and image processing." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2015. https://www.cris.uns.ac.rs/record.jsf?recordId=93698&source=NDLTD&language=en.

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The research topic of this PhD thesis is a comparative analysis of classical specic geometric frameworks and of their anisotropic extensions; the construction of three different types of Finsler frameworks, which are suitable for the analysis of the cancer cells population dynamical system; the development of the anisotropic Beltrami framework theory with the derivation of the evolution ow equations corresponding to different classes of anisotropic metrics, and tentative applications in image processing.<br>Predmet istraživanja doktorske disertacije je uporedna an

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9

Popa-Fischer, Anca. "Generalized Kähler metrics on complex spaces and a supplement to a Theorem of Fornæss and Narasimhan." [S.l. : s.n.], 2000. http://deposit.ddb.de/cgi-bin/dokserv?idn=960695028.

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10

Abbas, Mujahid. "Soft Set Theory: Generalizations, Fixed Point Theorems, and Applications." Doctoral thesis, Universitat Politècnica de València, 2015. http://hdl.handle.net/10251/48470.

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Mathematical models have extensively been used in problems related to engineering, computer sciences, economics, social, natural and medical sciences etc. It has become very common to use mathematical tools to solve, study the behavior and different aspects of a system and its different subsystems. Because of various uncertainties arising in real world situations, methods of classical mathematics may not be successfully applied to solve them. Thus, new mathematical theories such as probability theory and fuzzy set theory have been introduced by mathematicians and computer scientists to

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11

Zhong, Ning. "Generalized metric spaces and products." 1990. http://catalog.hathitrust.org/api/volumes/oclc/23438508.html.

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12

Jiang, Shouli. "The strict p-space problem and generalized metric spaces as images of metric spaces." 1988. http://catalog.hathitrust.org/api/volumes/oclc/18720098.html.

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Thesis (Ph. D.)--University of Wisconsin--Madison, 1988.<br>Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 53-55).

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13

Ying-hung, Lin, and 林盈宏. "SOME GENERALIZED FIXED POINT THEOREMS IN COMPLETE METRIC SPACES." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/65425785537769086829.

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碩士<br>國立高雄師範大學<br>數學系<br>94<br>In this paper , we first establish some new fixed point theorems for multivalued maps. Using these theorems, we can prove generalized Kannan's type and generalized Chatterjea's type fixed point theorems for multivalued maps. The primitive Kannan's type and Chatterjea's type fixed point theorems for single-valued maps are special cases of our theorems.

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14

彭錦嶽. "Generalized KKM Theorem on Hyperconvex Metric Spaces and Its Applications." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/99848893033899503558.

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碩士<br>國立新竹教育大學<br>數學教育學系碩士班<br>95<br>In this paper, we use the property of hyperconvex metric space to establish an intersection property about a family of admissible sets. Applying this intersection property we get a generalized theorem, a matching theorem and a coincidence theorem. As the application, we use this generalized theorem to establish some existence theorems about variational inequalities and minimax inequalities.

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15

Chen, Chao-Hung, and 陳昭宏. "Generalized 2-gKKM theorem in hyperconvex metric spaces and its applications." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/65279578083872604167.

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碩士<br>國立新竹教育大學<br>應用數學系碩士班<br>95<br>In this paper, we prove a generalized 2-gKKM theorem in hyperconvex metric space. By using this theorem we get a matching theorem, a coincidence theorem, and some fixed point theorems under some assumptions. As applications, we use this generalized 2-gKKM theorem to establish some existence theorems about variational inequalities.

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16

Chang, Ching-Hsiang, and 張景翔. "Generalized 2-KKM theorem in hyperconvex metric spaces and its applications." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/16322146095943764465.

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碩士<br>國立新竹教育大學<br>人資處數學教育碩士班<br>95<br>In this paper, we first define 2-KKM mapping and generalized 2-KKM mapping. Then we apply the property of hyperconvex metric space to get a KKM theorem and a fixed point theorem without compact assumption. By using this KKM theorem we get some theorems about variational inequalities and minimax inequalities.

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17

LIU, YUAN-LIANG, and 劉原良. "Some new convergence theorems for generalized nonlinear cyclic mappings in metric spaces." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/19917770447190661454.

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碩士<br>國立高雄師範大學<br>數學系<br>105<br>Let A and B be nonempty subsets of a metric space (X,d) and T:A∪B → A∪B be a cyclic mapping. In this paper, we establish some new convergence theorems satisfying the following condition: (G) there exists an MT-funtion ϕ:[0,∞) → [0,1) such that d(Tx,Ty)≤ϕ(d(x,y))max{(1/4)[d(x,Ty)+2d(Tx,Ty)+d(y,Tx)], (1/8)[d(x,Ty)+3d(x,Tx)+3d(y,Ty)+d(y,Tx)]}+[1-ϕ(d(x,y))]dist(A,B) for all x∈A and y∈B.

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18

Tsou, Chia-Fang, and 鄒佳芳. "Generalized Variational Inequality Theorems and Minimax Inequality Theorems on Hyperconvex Metric Spaces." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/35340995457508642124.

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碩士<br>國立新竹教育大學<br>人資處數學教育碩士班<br>95<br>In this paper, we use the property of hyperconvex metric space to establish an intersection property about a family of admissible sets. Applying this intersection property we establish some generalized variational inequality theorems. We also establish some minimax inequality theorems concerning four real-valued mappings under some assumptions.

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19

Sun, Wei-Yi, та 孫維毅. "Periodic Points and Fixed Points for the Weaker (Φ,ϕ)-Contractive Mappings in Complete Generalized Metric Spaces". Thesis, 2012. http://ndltd.ncl.edu.tw/handle/24760494217308018228.

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碩士<br>國立新竹教育大學<br>應用數學系碩士班<br>100<br>We introduce the notion of weaker (Φ,ϕ)-contractive mapping in completemetric spaces and prove the periodic points and fixed points for this type of contraction. Our results generalize or improve many recent fixed point theorems in the literature

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20

Skovajsa, Břetislav. "Zobecněné obyčejné diferenciální rovnice v metrických prostorech." Master's thesis, 2014. http://www.nusl.cz/ntk/nusl-340897.

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The aim of this thesis is to build the foundations of generalized ordinary differ- ential equation theory in metric spaces. While differential equations in metric spaces have been studied before, the chosen approach cannot be extended to in- clude more general types of integral equations. We introduce a definition which combines the added generality of metric spaces with the strength of Kurzweil's generalized ordinary differential equations. Additionally, we present existence and uniqueness theorems which offer new results even in the context of Euclidean spaces.

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21

Hu, Chung-Yao, and 胡忠堯. "Korovkin type approximation theorem in generalized metric space." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/d7brm4.

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碩士<br>國立清華大學<br>應用數學系所<br>105<br>The paper is concerned with the result of the Korovkin type approximation theorem related to functions of single-valued and multi-valued. For the study of Korovkin type approximation theorem of single-valued functions, we discuss the uniform convergence in the space of functions define on the space of partial metric and metric-like. As for the Korovkin type approximation theorem of multi-valued functions, we discuss the uniform convergence in the space of functions from partial metric space to closed and bounded sets of real number and the functions from metric

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22

Popa-Fischer, Anca [Verfasser]. "Generalized Kähler metrics on complex spaces and a supplement to a Theorem of Fornæss and Narasimhan / von Anca Popa-Fischer." 2000. http://d-nb.info/960695028/34.

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23

Χρυσικός, Ιωάννης. "Ομογενείς μετρικές Einstein σε γενικευμένες πολλαπλότητες σημαιών". Thesis, 2011. http://nemertes.lis.upatras.gr/jspui/handle/10889/4418.

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Μια πολλαπλότητα Riemann (M, g) ονομάζεται Einstein αν έχει σταθερή καμπυλότητα Ricci. Είναι γνωστό ότι αν (M=G/K, g) είναι μια συμπαγής ομογενής πολλαπλότητα Riemann, τότε οι G-αναλλοίωτες μετρικές Einstein μοναδιαίου όγκου, είναι τα κρίσιμα σημεία του συναρτησοειδούς ολικής βαθμωτής καμπυλότητας περιορισμένο στο χώρο των G-αναλλοίωτων μετρικών με όγκο 1. Για μια G-αναλλοίωτη μετρική Riemann η εξίσωση Einstein ανάγεται σε ένα σύστημα αλγεβρικών εξισώσεων. Οι θετικές πραγματικές λύσεις του συστήματος αυτού είναι ακριβώς οι G-αναλλοίωτες μετρικές Einstein που δέχεται η πολλαπ

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