Asymptotic behavior of almost-orbits of semigroups of Lipschitzian mappings in Banach spaces

DOI10.2996/kmj/1138038824zbMath0673.47046OpenAlexW2079631693MaRDI QIDQ1120808

Pei-Jun Zhang, Takahashi, Wataru

Publication date: 1988

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138038824

zbMATH Keywords

Fréchet-differentiable normfamily of Lipschitzian mappingsright-reversible semitopological semigroupstrong convergence of its metric projectionweak convergence of an almost- orbit

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Iterative fixed points of non-Lipschitzian self-mappings ⋮ Nonlinear ergodic theorems for commutative semigroups of asymptotically nonexpansive mappings ⋮ Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces ⋮ Nonlinear ergodic theorems of almost-orbits of non-Lipschitzian semigroups ⋮ A mean ergodic theorem for nonlinear semigroups which are asymptotically nonexpansive in the intermediate sense ⋮ Weak convergence of almost orbits of asymptotically nonexpansive commutative semigroups ⋮ Weak convergence theorems for asymptotically nonexpansive mappings and semigroups

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