Convergence and well-posedness properties of uniformly locally contractive mappings

DOI10.12775/tmna.2022.035OpenAlexW4384559796MaRDI QIDQ6187513

Simeon Reich, Zaslavski, Alexander J.

Publication date: 15 January 2024

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/topological-methods-in-nonlinear-analysis/volume-61/issue-2/Convergence-and-well-posedness-properties-of-uniformly-locally-contractive-mappings/10.12775/TMNA.2022.035.full

zbMATH Keywords

fixed pointnonexpansive mappingcomplete metric spaceinexact iterate

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Approximate solutions of common fixed-point problems
• Convergence to attractors under perturbations
• Generic existence and approximation of fixed points for nonexpansive set-valued maps
• Algorithms for solving common fixed point problems
• Genericity in nonlinear analysis
• The set of noncontractive mappings is -porous in the space of all nonexpansive mappings
• Outer approximation methods for solving variational inequalities in Hilbert space
• An Extension of Banach's Contraction Principle
• A Note on Contractive Mappings
• Nonexpansive iterations in hyperbolic spaces
• Strong and weak convergence theorems for locally nonexpansive mappings in Banach spaces
• Algorithms and Convergence Results of Projection Methods for Inconsistent Feasibility Problems: A Review
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