Nonlinear ergodic theorems for semigroups of nonexpansive mappings and left ideals

DOI10.1016/0362-546X(94)00347-KzbMath0880.47048OpenAlexW2041443813MaRDI QIDQ4886560

Koji Nishiura, Anthony To-Ming Lau, Takahashi, Wataru

Publication date: 15 August 1996

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

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00347-k

zbMATH Keywords

uniformly convex Banach spacefixed point setnonexpansive mappingsnonlinear ergodic theoremsalmost fixed point propertyDeMarr's fixed point theoremenveloping semigroup of nonexpansive mappingsleft ideal orbitsrepresentations of semitopological semigroups

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Groups and semigroups of nonlinear operators (58D07)

Related Items

Asymptotic behavior of uniformly asymptotically almost nonexpansive curves in a Hilbert space ⋮ Nonlinear ergodic theorems of nonexpansive type mappings ⋮ Nonexpansive retractions and fixed point properties ⋮ Nonlinear ergodic theorems for general curves defined on general semigroups. ⋮ Approximation of fixed points for nonexpansive semigroups in Hilbert spaces ⋮ Ergodic retractions for amenable semigroups in Banach spaces with normal structure ⋮ Fixed point theorems and nonlinear ergodic theorems for nonlinear semigroups and their applications ⋮ Existence of ergodic retractions for semigroups in Banach spaces ⋮ Normal structure and common fixed point properties for semigroups of nonexpansive mappings in Banach spaces ⋮ Ergodic theorems for nonexpansive curves defined on general semigroups in a Hilbert space ⋮ Fixed point properties and \(Q\)-nonexpansive retractions in locally convex spaces ⋮ Existence of group nonexpansive retractions and ergodic theorems in topological groups ⋮ The retractions onto the common fixed points of some families and semigroups of mappings ⋮ Existence of nonexpansive retractions for amenable semigroups of nonexpansive mappings and nonlinear ergodic theorems in Banach spaces ⋮ A mean ergodic theorem for nonlinear semigroups which are asymptotically nonexpansive in the intermediate sense ⋮ Weak convergence theorems for asymptotically nonexpansive mappings and semigroups

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