Results 11 to 20 of about 4,748 (237)
On Banach fixed point theorems for partial metric spaces [PDF]
Applied General Topology, 2005 In this paper we prove several generalizations of the Banach fixed point theorem for partial metric spaces (in the sense of O’Neill) given in, obtaining as a particular case of our results the Banach fixed point theorem of Matthews ([12]), and some well ...
Oscar Valero
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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.
Dhage, B.C.
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A Banach fixed point theorem for topological spaces
, 1992 The purpose of this paper is to prove a fixed point theorem for Hausdorff first countable topological spaces and to show, that it is really a generalization of the well-known Banach Fixed Point Theorem: Let \(f:(X,d)\to(X,d)\) be a contraction mapping from a complete metric space into itself. Let \(x \in X\). Then the sequence \(\bigl\{ f^{(n)}(x)\bigr\
Kupka, Ivan
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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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FIXED POINT AND COMMON FIXED POINT THEOREM FOR MULTIVALUED MAPPINGS FOR BANACH SPACE
, 2022 In this Paper we will investigate some fixed point and common fixed point theorem for multivalued mappings of Banach space. We show that an extended form of many Known results taking multivalued mappings and inequities.
Sandhya Singh, Dr. Dhirendra Kumar Singh
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Mathematics, 2018 In this paper, we first establish a new fixed point theorem that generalizes and unifies a number of well-known fixed point results, including the Banach contraction principle, Kannan’s fixed point theorem, Chatterjea fixed point theorem, Du ...
Wei-Shih Du +2 more
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Fixed points and common points for fundamentally nonexpansive mappings on banach spaces [PDF]
Journal of Hyperstructures, 2015 In this paper, we present some fixed point theorems for fundamentally nonexpansive mappings in Banach spaces and give one common fixed point theorem for a commutative family of demiclosed fundamentally nonexpansive mappings on a nonempty weakly compact ...
Moohammad Moosaei
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Fixed Point Theory and Applications, 2010 We establish two fixed point theorems for nonlinear operators on Banach spaces partially ordered by a cone. The first fixed point theorem is concerned with a class of mixed monotone operators.
Liang Jin, Xiao Ti-Jun, Ding Hui-Sheng
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A Proposal for Revisiting Banach and Caristi Type Theorems in b-Metric Spaces
Mathematics, 2019 In this paper, we revisit the renowned fixed point theorems belongs to Caristi and Banach. We propose a new fixed point theorem which is inspired from both Caristi and Banach. We also consider an example to illustrate our result.
Erdal Karapınar +2 more
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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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