Strong and weak convergence theorems for locally nonexpansive mappings in Banach spaces

DOI10.1016/0362-546X(82)90083-9zbMath0485.47040OpenAlexW2035954724MaRDI QIDQ3945109

Ronald E. jun. Bruck, William A. Kirk, Simeon Reich

Publication date: 1982

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(82)90083-9

zbMATH Keywords

strong and weak convergenceapproximation of fixed pointslocally nonexpansive mappingsuniformly convex and uniformly smooth Banach space

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

CONVERGENCE OF INEXACT ITERATES OF UNIFORMLY LOCALLY NONEXPANSIVE MAPPINGS WITH SUMMABLE ERRORS ⋮ Convergence and well-posedness properties of uniformly locally contractive mappings ⋮ The finitary content of sunny nonexpansive retractions ⋮ Nonexpansive and locally nonexpansive mappings in product spaces ⋮ Unnamed Item ⋮ On the Approximation of Fixed Points For Locally Pseudo-Contractive Mappings ⋮ Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces ⋮ Nonexpansive mappings in metric and Banach spaces ⋮ Convergence of paths for pseudo-contractive mappings in Banach spaces

Cites Work

• A fixed point theorem for local pseudo-contractions in uniformly convex spaces
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
• The solution by iteration of nonlinear functional equations in Banach spaces
• Semicontractive and semiaccretive nonlinear mappings in Banach spaces
• Unnamed Item