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Relevant bibliographies by topics / Singularities (Mathematics) Fixed point theory

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Academic literature on the topic 'Singularities (Mathematics) Fixed point theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 February 2022

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Journal articles on the topic "Singularities (Mathematics) Fixed point theory"

1

Temar, Bahia, Ouiza Saif, and Smaïl Djebali. "A system of nonlinear fractional BVPs with ϕ-Laplacian operators and nonlocal conditions." Proyecciones (Antofagasta) 40, no. 2 (April 2021): 447–79. http://dx.doi.org/10.22199/issn.0717-6279-2021-02-0027.

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This work investigates the existence of multiple positive solutions for a system of two nonlinear higher-order fractional differential equations with ϕ-Laplacian operators and nonlocal conditions. A degenerate nonlinearity which obeys some general growth conditions is considered. The singularities are dealt with by approximating the fixed point operator. New existence results are presented by using the fixed point index theory. Examples of applications illustrate the theoretical results.

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Tudorache, Alexandru, and Rodica Luca. "On a singular Riemann–Liouville fractional boundary value problem with parameters." Nonlinear Analysis: Modelling and Control 26, no. 1 (January 1, 2021): 151–68. http://dx.doi.org/10.15388/namc.2021.26.21414.

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We investigate the existence of positive solutions for a nonlinear Riemann–Liouville fractional differential equation with a positive parameter subject to nonlocal boundary conditions, which contain fractional derivatives and Riemann–Stieltjes integrals. The nonlinearity of the equation is nonnegative, and it may have singularities at its variables. In the proof of the main results, we use the fixed point index theory and the principal characteristic value of an associated linear operator. A related semipositone problem is also studied by using the Guo–Krasnosel’skii fixed point theorem.

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FISCHER, P., and D. GILLIS. "PLANE MAPS, SINGULARITIES AND QUASI-FIXED POINTS." International Journal of Bifurcation and Chaos 16, no. 01 (January 2006): 179–83. http://dx.doi.org/10.1142/s0218127406014691.

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This work investigates maps T of the plane with points p ∈ ℝ2 where T is undefined. Through the study of certain families with a singularity at the origin two very different dynamics will be illustrated. The first example will show that a singularity has no apparent effect on forward mapping. In this example there exists also an attractive fixed point. The second example will illustrate a singularity that exhibits attracting fixed point-like behavior.

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O'Regan, Donal. "Fixed Point Theory of." Applicable Analysis 69, no. 1-2 (June 1998): 414–16. http://dx.doi.org/10.1080/00036819808840643.

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Brown, Robert F. "Book Review: Fixed point theory." Bulletin of the American Mathematical Society 41, no. 02 (January 20, 2004): 267–72. http://dx.doi.org/10.1090/s0273-0979-04-01008-0.

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Sonoda, H. "The operator algebra at the Gaussian fixed-point." International Journal of Modern Physics A 36, no. 16 (June 2, 2021): 2150106. http://dx.doi.org/10.1142/s0217751x21501062.

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We consider the multiple products of relevant and marginal scalar composite operators at the Gaussian fixed-point in [Formula: see text] dimensions. This amounts to perturbative construction of the [Formula: see text] theory where the parameters of the theory are momentum-dependent sources. Using the exact renormalization group (ERG) formalism, we show how the scaling properties of the sources are given by the short-distance singularities of the multiple products.

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Ege, Ozgur, and Ismet Karaca. "Digital homotopy fixed point theory." Comptes Rendus Mathematique 353, no. 11 (November 2015): 1029–33. http://dx.doi.org/10.1016/j.crma.2015.07.006.

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Brown, Robert F. "Epsilon Nielsen fixed point theory." Fixed Point Theory and Applications 2006 (2006): 1–11. http://dx.doi.org/10.1155/fpta/2006/29470.

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Wong, Peter. "Fixed-point theory for homogeneous spaces." American Journal of Mathematics 120, no. 1 (1998): 23–42. http://dx.doi.org/10.1353/ajm.1998.0008.

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Isac, G. "Supernormal cones and fixed point theory." Rocky Mountain Journal of Mathematics 17, no. 2 (June 1987): 219–26. http://dx.doi.org/10.1216/rmj-1987-17-2-219.

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Dissertations / Theses on the topic "Singularities (Mathematics) Fixed point theory"

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Nazaikinskii, Vladimir, Bert-Wolfgang Schulze, Boris Sternin, and Victor Shatalov. "A Lefschetz fixed point theorem for manifolds with conical singularities." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2507/.

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Kunkel, Curtis J. Henderson Johnny. "Positive solutions of singular boundary value problems." Waco, Tex. : Baylor University, 2007. http://hdl.handle.net/2104/5022.

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Schulze, Bert-Wolfgang, and Nikolai N. Tarkhanov. "A Lefschetz fixed point formula in the relative elliptic theory." Universität Potsdam, 1998. http://opus.kobv.de/ubp/volltexte/2008/2515/.

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A version of the classical Lefschetz fixed point formula is proved for the cohomology of the cone of a cochain mapping of elliptic complexes. As a particular case we show a Lefschetz formula for the relative de Rham cohomology.

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Panicker, Rekha Manoj. "Some general convergence theorems on fixed points." Thesis, Rhodes University, 2014. http://hdl.handle.net/10962/d1013112.

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In this thesis, we first obtain coincidence and common fixed point theorems for a pair of generalized non-expansive type mappings in a normed space. Then we discuss two types of convergence theorems, namely, the convergence of Mann iteration procedures and the convergence and stability of fixed points. In addition, we discuss the viscosity approximations generated by (ψ ,ϕ)-weakly contractive mappings and a sequence of non-expansive mappings and then establish Browder and Halpern type convergence theorems on Banach spaces. With regard to iteration procedures, we obtain a result on the convergence of Mann iteration for generalized non-expansive type mappings in a Banach space which satisfies Opial's condition. And, in the case of stability of fixed points, we obtain a number of stability results for the sequence of (ψ,ϕ)- weakly contractive mappings and the sequence of their corresponding fixed points in metric and 2-metric spaces. We also present a generalization of Fraser and Nadler type stability theorems in 2-metric spaces involving a sequence of metrics.

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Psaras, Emanuel S. "A Study of Fixed-Point-Free Automorphisms and Solvable Groups." Youngstown State University / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1588762170044899.

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Niyitegeka, Jean Marie Vianney. "Generalizations of some fixed point theorems in banach and metric spaces." Thesis, Nelson Mandela Metropolitan University, 2015. http://hdl.handle.net/10948/5265.

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A fixed point of a mapping is an element in the domain of the mapping that is mapped into itself by the mapping. The study of fixed points has been a field of interests to mathematicians since the discovery of the Banach contraction theorem, i.e. if is a complete metric space and is a contraction mapping (i.e. there exists such that for all ), then has a unique fixed point. The Banach contraction theorem has found many applications in pure and applied mathematics. Due to fixed point theory being a mixture of analysis, geometry, algebra and topology, its applications to other fields such as physics, economics, game theory, chemistry, engineering and many others has become vital. The theory is nowadays a very active field of research in which many new theorems are published, some of them applied and many others generalized. Motivated by all of this, we give an exposition of some generalizations of fixed point theorems in metric fixed point theory, which is a branch of fixed point theory about results of fixed points of mappings between metric spaces, where certain properties of the mappings involved need not be preserved under equivalent metrics. For instance, the contractive property of mappings between metric spaces need not be preserved under equivalent metrics. Since metric fixed point theory is wide, we limit ourselves to fixed point theorems for self and non-self-mappings on Banach and metric spaces. We also take a look at some open problems on this topic of study. At the end of the dissertation, we suggest our own problems for future research.

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Sracic, Mario F. "A Self-Contained Review of Thompson's Fixed-Point-Free Automorphism Theorem." Youngstown State University / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1403191722.

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Schulze, Bert-Wolfgang, Vladimir Nazaikinskii, and Boris Sternin. "A semiclassical quantization on manifolds with singularities and the Lefschetz Formula for Elliptic Operators." Universität Potsdam, 1998. http://opus.kobv.de/ubp/volltexte/2008/2529/.

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For general endomorphisms of elliptic complexes on manifolds with conical singularities, the semiclassical asymptotics of the Atiyah-Bott-Lefschetz number is calculated in terms of fixed points of the corresponding canonical transformation of the symplectic space.

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Stofile, Simfumene. "Fixed points of single-valued and multi-valued mappings with applications." Thesis, Rhodes University, 2013. http://hdl.handle.net/10962/d1002960.

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The relationship between the convergence of a sequence of self mappings of a metric space and their fixed points, known as the stability (or continuity) of fixed points has been of continuing interest and widely studied in fixed point theory. In this thesis we study the stability of common fixed points in a Hausdorff uniform space whose uniformity is generated by a family of pseudometrics, by using some general notations of convergence. These results are then extended to 2-metric spaces due to S. Gähler. In addition, a well-known theorem of T. Suzuki that generalized the Banach Contraction Principle is also extended to 2-metric spaces and applied to obtain a coincidence theorem for a pair of mappings on an arbitrary set with values in a 2-metric space. Further, we prove the existence of coincidence and fixed points of Ćirić type weakly generalized contractions in metric spaces. Subsequently, the above result is utilized to discuss applications to the convergence of modified Mann and Ishikawa iterations in a convex metric space. Finally, we obtain coincidence, fixed and stationary point results for multi-valued and hybrid pairs of mappings on a metric space.

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Tran, Vanthu Thy. "Newton's method as a mean value method." Akron, OH : University of Akron, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=akron1176739678.

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Thesis (M.S.)--University of Akron, Dept. of Mathematics, 2007.
"May, 2007." Title from electronic thesis title page (viewed 4/28/2009) Advisor, Ali Hajjafar; Faculty readers, Linda Marie Saliga, Lala Krishna; Department Chair, Joseph W. Wilder; Dean of the College, Ronald F. Levant; Dean of the Graduate School, George R. Newkome. Includes bibliographical references.

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Books on the topic "Singularities (Mathematics) Fixed point theory"

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S, Firmo, Gonçalves Daciberg Lima, and Saeki O, eds. Proceedings of the XI Brazilian Topology Meeting: Rio Claro, Brazil, 3-7 August 1998. Singapore: World Scientific, 2000.

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2

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

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3

Toledano, J. M. Ayerbe. Measures of Noncompactness in Metric Fixed Point Theory. Basel: Birkhäuser Basel, 1997.

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4

Fixed point theory for decomposable sets. New York: Kluwer Academic Publishers, 2004.

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5

Kirk, William A. Handbook of Metric Fixed Point Theory. Dordrecht: Springer Netherlands, 2001.

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6

Ulrich, Hanno. Fixed point theory of parametrized equivariant maps. Berlin: Springer-Verlag, 1988.

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7

Fixed point theory and trace for bicategories. Paris: Société mathématique de France, 2010.

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8

Bùi, Công Cường. Some fixed point theorems for multifunctions with applications in game theory. Warszawa: Państwowe Wydawn. Naukowe, 1985.

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9

Singh, Sankatha. Fixed Point Theory and Best Approximation: The KKM-map Principle. Dordrecht: Springer Netherlands, 1997.

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10

Instytut Matematyczny (Polska Akademia Nauk), ed. Fixed point index theory for a class of nonacyclic multivalued maps. Warszawa: Państwowe Wydawnictwo Naukowe, 1985.

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Book chapters on the topic "Singularities (Mathematics) Fixed point theory"

1

Vick, James W. "Fixed-Point Theory." In Graduate Texts in Mathematics, 186–210. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-0881-5_7.

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2

Fadell, E. "Two vignettes in fixed point theory." In Lecture Notes in Mathematics, 46–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0086439.

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Papageorgiou, Nikolaos S., Vicenţiu D. Rădulescu, and Dušan D. Repovš. "Partial Order, Fixed Point Theory, Variational Principles." In Springer Monographs in Mathematics, 263–360. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-03430-6_4.

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Cho, Yeol Je. "Survey on Metric Fixed Point Theory and Applications." In Trends in Mathematics, 183–241. Singapore: Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-4337-6_9.

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Djebali, Smaïl. "Fixed Point Theory for 1-Set Contractions: a Survey." In Applied Mathematics in Tunisia, 53–100. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18041-0_3.

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Ruan, Ning, and David Yang Gao. "Application of Canonical Duality Theory to Fixed Point Problem." In Springer Proceedings in Mathematics & Statistics, 157–63. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08377-3_17.

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Fel’shtyn, A. L. "New zeta functions for dynamical systems and Nielsen fixed point theory." In Lecture Notes in Mathematics, 33–55. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0082770.

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Mabula, M. D., J. J. Miñana, and O. Valero. "On Fixed Point Theory in Partially Ordered (Quasi-)metric Spaces and an Application to Complexity Analysis of Algorithms." In Trends in Mathematics, 251–66. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-70974-7_13.

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"Contractive Fixed Point Theory." In Studies in Computational Mathematics, 47–85. Elsevier, 2007. http://dx.doi.org/10.1016/s1570-579x(07)80023-1.

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"3 Fixed-Point Theory." In Mathematics in Science and Engineering, 164–96. Elsevier, 1985. http://dx.doi.org/10.1016/s0076-5392(09)60334-9.

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Conference papers on the topic "Singularities (Mathematics) Fixed point theory"

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Kawasaki, Hidefumi, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Some Extensions of Discrete Fixed Point Theorems and Their Applications to the Game Theory." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241640.

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Bliss, Donald, Linda Franzoni, and Krista Michalis. "Characterization of High Frequency Radiation From Panels Subject to Broadband Excitation." In ASME 2008 Noise Control and Acoustics Division Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/ncad2008-73063.

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In the high frequency limit, a vibrating panel subject to spatially-random temporally-broadband forcing is shown to have broadband power and directivity properties that can be expressed in simple analytical terms by a limited set of parameters. A lightly-loaded fixed-fixed membrane with a distribution of broadband uncorrelated drive points is analyzed. The theory is developed using classical modal methods and asymptotic modal analysis, assuming small damping. The power and directivity of the radiated pressure field are characterized in terms of structural wave Mach number, damping ratio, and dimensionless frequency. The relatively simple directivity pattern that emerges can be shown to arise from edge radiation. From the point of view of edge radiation, assuming a lightly damped reverberant structure, the same radiation formula and directivity pattern can be derived in a much simpler manner. Broadband radiation from structures with subsonic and supersonic flexural wave speeds is discussed and characterized in terms of a simple interpretation of the surface wavenumber spatial transform. The results show that the physical idea of interpreting edge radiation in terms of uncancelled volumetric sources is not correct, and the effect of higher order edge singularities is in fact very significant. The approach implies a relationship between radiation and structural power flow that is potentially useful in energy-intensity based prediction methods, and can be generalized to more complex structures with application to vehicle interior noise prediction.

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