Asymptotically invariant net and fixed point set for semigroup of nonexpansive mappings

DOI10.1016/S0362-546X(96)00063-6zbMath0890.47039OpenAlexW2061964675MaRDI QIDQ4346016

Osamu Kada, Takahashi, Wataru, Anthony To-Ming Lau

Publication date: 29 June 1998

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

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00063-6

zbMATH Keywords

meansemitopological semigroupRiesz' theoremasymptotically invariant net

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Asymptotic behavior of uniformly asymptotically almost nonexpansive curves in a Hilbert space ⋮ Fixed point properties for nonexpansive representations of topological semigroups ⋮ Rodé's theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces ⋮ Fixed point theorems for left amenable semigroups of non-Lipschitzian mappings in Banach spaces ⋮ Convergence to common solutions of various problems for nonexpansive mappings in Hilbert spaces ⋮ Fixed point and nonlinear ergodic theorems for some new type semigroups of mappings ⋮ Fixed point theorems and nonlinear ergodic theorems for nonlinear semigroups and their applications ⋮ Ergodic theorems for nonexpansive curves defined on general semigroups in a Hilbert space ⋮ A generalized proximal point algorithm and implicit iterative schemes for a sequence of operators on Banach spaces ⋮ Fixed point, convergence and nonlinear ergodic theorems for some semigroups in Hilbert spaces ⋮ Existence of nonexpansive retractions for amenable semigroups of nonexpansive mappings and nonlinear ergodic theorems in Banach spaces ⋮ Weak convergence theorems for asymptotically nonexpansive mappings and semigroups

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