Iteration processes for nonlinear mappings in convex metric spaces

DOI10.1016/0022-247X(88)90047-9zbMath0683.47044MaRDI QIDQ1824852

Xie Ping Ding

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

convergence of Ishikawa type iterative schemes to unique fixed points of nonexpansive mappings defined on subsets of convex metric spaces

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Iterative numerical methods for linear systems (65F10)

Related Items

A convexity of functions on convex metric spaces of Takahashi and applications, Remarks on asymptotic regularity in A-metric spaces, RANDOM COINCIDENCE AND FIXED POINTS FOR WEAKLY COMPATIBLE MAPPINGS IN CONVEX METRIC SPACES, Some common fixed point and invariant approximation results for nonexpansive mappings in convex metric space, Fixed point theorems in convex metric spaces, Strong convergence of a general iteration scheme in \(CAT(0)\) spaces, Fixed point results on closed ball in convex rectangular \(b\)-metric spaces and applications, Convergence and stability of Jungck-type iterative procedures in convex \(b\)-metric spaces, Convergence theorems of the Ishikawa type iterative sequences with errors for generalized quasi-contractive mappings in convex metric spaces, Approximating fixed points of some maps in uniformly convex metric spaces, Approximating the common fixed points of two sequences of uniformly quasi-Lipschitzian mappings in convex metric spaces, Some convergence theorems for contractive type mappings in \(CAT(0)\) spaces, An Iteration Process for Nonlinear Mappings in Uniformly Convex Linear Metric Spaces, Iterative construction of fixed points, An Ishikawa type iteration scheme in complete metric spaces, Fixed point theorems for the Mann's iteration scheme in convex graphical rectangular b-metric spaces, Fixed point results for enriched ordered contractions in noncommutative Banach spaces

Cites Work

• Extensions of some fixed point theorems of Rhoades
• Comments on two fixed point iteration methods
• Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings
• Iteration processes for nonexpansive mappings
• A convexity in metric space and nonexpansive mappings. I.
• Nonexpansive Mappings, Asymptotic Regularity and Successive Approximations
• A note on Mann iteration for quasi-nonexpansive mappings
• A Generalization of Banach's Contraction Principle
• Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
• Krasnoselskii's iteration process in hyperbolic space
• Fixed Point Iterations Using Infinite Matrices
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