Results 1 to 10 of about 50 (50)
Fixed Point Theorem for Nonexpansive Semigroups on Banach Space [PDF]
Proceedings of the American Mathematical Society, 1994 Let C be a nonempty closed convex subset of a uniformly convex Banach space, and let S be a semitopological semigroup such that
Takahashi, Wataru, Jeong, Doo Hoan
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On a converse to Banach’s Fixed Point Theorem [PDF]
Proceedings of the American Mathematical Society, 2009 We say that a metric space ( X , d ) (X,d)
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Banach fixed point theorem for digital images
Journal of Nonlinear Sciences and Applications, 2016 In this paper, we prove Banach fixed point theorem for digital images. We also give the proof of a theorem which is a generalization of the Banach contraction principle. Finally, we deal with an application of Banach fixed point theorem to image processing. © 2015 All rights reserved.
Ege, Ozgur, Karaca, Ismet
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Fixed Point Theorems in Cone Banach Spaces [PDF]
Fixed Point Theory and Applications, 2009 AbstractIn this manuscript, a class of self-mappings on cone Banach spaces which have at least one fixed point is considered. More precisely, for a closed and convex subset "Equation missing" of a cone Banach space with the norm "Equation missing", if there exist "Equation missing", "Equation missing", "Equation missing" and "Equation missing ...
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Ultrametrics, Banach’s fixed point theorem and the Riordan group
Discrete Applied Mathematics, 2008 This paper interprets the reciprocation process in \(\mathbb K[[x]]\) as a fixed point problem related to contractive functions for certain adequate ultrametric spaces. As application, a dynamical interpretation of certain arithmetical triangles introduced herein is given. As a special case of the construction given in this paper, the so-called Riordan
Ana Luzón, Manuel A. Morón
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A converse to Banach's fixed point theorem and its CLS-completeness [PDF]
Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing, 2018 Banach's fixed point theorem for contraction maps has been widely used to analyze the convergence of iterative methods in non-convex problems. It is a common experience, however, that iterative maps fail to be globally contracting under the natural metric in their domain, making the applicability of Banach's theorem limited. We explore how generally we
Constantinos Daskalakis +2 more
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Browder-Krasnoselskii-Type Fixed Point Theorems in Banach Spaces [PDF]
Fixed Point Theory and Applications, 2010 AbstractWe present some fixed point theorems for the sum "Equation missing" of a weakly-strongly continuous map and a nonexpansive map on a Banach space "Equation missing". Our results cover several earlier works by Edmunds, Reinermann, Singh, and others.
Ravi P. Agarwal +2 more
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Fixed Point Theorems for ws-Compact Mappings in Banach Spaces [PDF]
Fixed Point Theory and Applications, 2010 AbstractWe present new fixed point theorems for ws-compact operators. Our fixed point results are obtained under Sadovskii, Leray-Schauder, Rothe, Altman, Petryshyn, and Furi-Pera type conditions. An example is given to show the usefulness and the applicability of our results.
Ravi P. Agarwal +2 more
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On a fixed point theorem in Banach algebras with applications
Applied Mathematics Letters, 2005 Dans cet article, l'auteur, en partant d'un de ses résultats très connus, présente des théorèmes noveaux de point fixe pour deux opérateurs définis sur un algèbre de Banach et leurs applications très utiles dans la démonstration de l'existence des solutions de quelques equations intégrales non-linéaires.
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Fixed-point and random fixed-point theorems in cones of banach spaces
Mathematical and Computer Modelling, 2000 The paper contains new coincidence and fixed-point results for condensing operators in cones of Banach spaces. It consists of four sections. In Section 2, the author establishes a variety of existence theorems for continuous condensing maps. These results are proved using the topological transversality theorem of Granas.
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