Results 21 to 30 of about 8,017 (187)
Demiclosedness Principles for Generalized Nonexpansive Mappings [PDF]
Journal of Optimization Theory and Applications, 2020 Demiclosedness principles are powerful tools in the study of convergence of iterative methods. For instance, a multi-operator demiclosedness principle for firmly nonexpansive mappings is useful in obtaining simple and transparent arguments for the weak convergence of the shadow sequence generated by the Douglas-Rachford algorithm. We provide extensions
Sedi Bartz, Rubén Campoy, Hung M. Phan
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Abstract and Applied Analysis, 2012 The purpose of this paper is to present the notion of weak relatively nonexpansive multi-valued mapping and to prove the strong convergence theorems of fixed point for weak relatively nonexpansive multivalued mappings in Banach spaces.
Jingling Zhang +2 more
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Journal of Inequalities and Applications, 2022 In this article, we introduce a new type of non-expansive mapping, namely weakly K-nonexpansive mapping, which is weaker than non-expansiveness and stronger than quasi-nonexpansiveness.
Sayantan Panja +4 more
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Fixed point results for nonexpansive mappings on metric spaces [PDF]
, 2015 In this paper we obtain some fixed point results for a class of nonexpansive single-valued mappings and a class of nonexpansive multi-valued mappings in the setting of a metric space.
VETRO, Francesca
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Fixed point theorems for a sum of two mappings in locally convex spaces
International Journal of Mathematics and Mathematical Sciences, 1994 Cain and Nashed generalized to locally convex spaces a well known fixed point theorem of Krasnoselskii for a sum of contraction and compact mappings in Banach spaces.
P. Vijayaraju
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Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces
International Journal of Mathematics and Mathematical Sciences, 2011 We introduce a concept of weak Bregman relatively nonexpansive mapping which is distinct from Bregman relatively nonexpansive mapping. By using projection techniques, we construct several modification of Mann type iterative algorithms with errors and ...
Jiawei Chen +3 more
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Approximating Fixed Points of Nonexpansive Mappings [PDF]
Proceedings of the American Mathematical Society, 1974 A condition is given for nonexpansive mappings which assures convergence of certain iterates to a fixed point of the mapping in a uniformly convex Banach space. A relationship between the given condition and the requirement of demicompactness is established.
Senter, H. F., Dotson, W. G. jun.
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On the Weak Relatively Nonexpansive Multivalued Mappings in Banach Spaces
Abstract and Applied Analysis, 2012 In recent years, the definition of relatively nonexpansive multivalued mapping and the definition of weak relatively nonexpansive multivalued mapping have been presented and studied by many authors.
Yongfu Su
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The Implicit Midpoint Procedures for Asymptotically Nonexpansive Mappings
Journal of Mathematics, 2020 The concept of asymptotically nonexpansive mappings is an important generalization of the class of nonexpansive mappings. Implicit midpoint procedures are extremely fundamental for solving equations involving nonlinear operators.
M. O. Aibinu, S. C. Thakur, S. Moyo
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Journal of Mathematics, 2023 In this article, we considered the class of generalized α,β-nonexpansive (GABN) mappings that properly includes all nonexpansive, Suzuki nonexpansive (SN), generalized α-nonexpansive (GAN), and Reich–Suzuki nonexpansive (RSN) mappings.
Fayyaz Ahmad +4 more
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