Weak convergence and non-linear ergodic theorems for reversible semigroups of non-Lipschitzian mappings

DOI10.1006/jmaa.1997.5237zbMath0888.47046OpenAlexW2037961805MaRDI QIDQ678668

Gang Li

Publication date: 13 May 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5237

zbMATH Keywords

uniformly convex Banach spaceergodic theoremcommon fixed pointsnonexpansive retractionFréchet differentiable normcontinuous representationalmost orbitasymptotically nonexpansive type self-mappingsergodic retraction theoremright reversible semitopological semigroup

Mathematics Subject Classification ID

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

Related Items (10)

Asymptotic behavior of uniformly asymptotically almost nonexpansive curves in a Hilbert space ⋮ Asymptotical smoothness and its applications ⋮ Nonlinear ergodic theorems of nonexpansive type mappings ⋮ Fixed point theorems for left amenable semigroups of non-Lipschitzian mappings in Banach spaces ⋮ Strong ergodic theorem for commutative semigroup of non-Lipschitzian mappings in multi-Banach space ⋮ Nonlinear ergodic theorems for general curves defined on general semigroups. ⋮ Ergodic retraction theorem and weak convergence theorem for reversible semigroups of non-Lipschitzian mappings ⋮ Nonlinear ergodic theorems and weak convergence theorems for reversible semigroup of asymptotically nonexpansive mappings in Banach spaces ⋮ Application of the product net technique and Kadec-Klee property to study nonlinear ergodic theorems and weak convergence theorems in uniformly convex multi-Banach spaces ⋮ Existence of nonexpansive retractions for amenable semigroups of nonexpansive mappings and nonlinear ergodic theorems in Banach spaces

This page was built for publication: Weak convergence and non-linear ergodic theorems for reversible semigroups of non-Lipschitzian mappings