On Multivalued Nonexpansive Mappings in ℝ‐Trees [PDF]
Journal of Applied Mathematics, 2012 The relationships between nonexpansive, weakly nonexpansive, *‐nonexpansive, proximally nonexpansive, proximally continuous, almost lower semicontinuous, and ɛ‐semicontinuous mappings in ℝ‐trees are studied. Convergence theorems for the Ishikawa iteration processes are also discussed.
Samanmit, K., Panyanak, B.
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Strong convergence of approximation fixed points for nonexpansive nonself-mapping [PDF]
, 2006 Let C be a closed convex subset of a uniformly smooth Banach space E, and T:C→E a nonexpansive nonself-mapping satisfying the weakly inwardness condition such that F(T)≠∅, and f:C→C a fixed contractive mapping.
Zhichuan Zhu, Rudong Chen
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Multivalued Nonexpansive Mappings and Opial's Condition [PDF]
Proceedings of the American Mathematical Society, 1973 We give relations between a condition introduced by Z. Opial which characterizes weak limits by means of the norm in some Banach spaces and approximations of the identity, in particular for systems of projections. Finally a fixed point theorem for multivalued nonexpansive mappings in a Banach space satisfying this condition is proved; this result ...
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A fixed point theoremfor nonexpansive compact self-mapping [PDF]
, 2014 A mapping T from a topological space X to a topological space Y is said to be compact if T(X) is contained in a compact subset of Y . The aim of this paper is to prove the existence of fixed points of a nonexpansive compact self-mapping defined on a ...
Narang, T. D.
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Strong Convergence of Monotone Hybrid Algorithm for Hemi-Relatively Nonexpansive Mappings
Fixed Point Theory and Applications, 2008 The purpose of this article is to prove strong convergence theorems for fixed points of closed hemi-relatively nonexpansive mappings. In order to get these convergence theorems, the monotone hybrid iteration method is presented and is used to approximate
Dongxing Wang +2 more
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Some fixed point results for enriched nonexpansive type mappings in Banach spaces
Applied General Topology, 2022 In this paper, we introduce two new classes of nonlinear mappings and present some new existence and convergence theorems for these mappings in Banach spaces.
Rahul Shukla, Rajendra Pant
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Partially nonexpansive mappings
Advances in the Theory of Nonlinear Analysis and its Application, 2022 It is defined a class of generalized nonexpansive mappings, which properly contains those defined by Suzuki in 2008, and that preserves some of its fixed point results.
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Inertial Krasnosel’skiĭ-Mann iterative algorithm with step-size parameters involving nonexpansive mappings with applications to solve image restoration problems [PDF]
In this work, we propose and study an inertial Krasnosel’ski˘ ı-Mann iterative algorithm with step-size parameters involving nonexpansive mapping to find a solution of a fixed point problem of a nonexpansive mapping in the frame work of Hilbert spaces ...
Plubtieng, S. +5 more
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A Mean Ergodic Theorem for Affine Nonexpansive Mappings in Nonpositive Curvature Metric Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, we consider the orbits of an affine nonexpansive mapping in Hadamard (nonpositive curvature metric) spaces and prove an ergodic theorem for the inductive mean, which extends the von Neumann linear ergodic theorem.
Khatibzadeh Hadi, Pouladi Hadi
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Approximating of fixed points for Garsia-Falset generalized nonexpansive mappings
Journal of New Results in Science, 2023 This paper studies the convergence of fixed points for Garsia-Falset generalized nonexpansive mappings. First, it investigates weak and strong convergence results for Garsia-Falset generalized nonexpansive mappings using the Temir-Korkut iteration in ...
Oruç Zincir, Seyit Temir
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