Fixed point theorems of various nonexpansive actions of semitopological semigroups on weakly/weak* compact convex sets

DOI10.12775/TMNA.2021.050MaRDI QIDQ2171973

Bui Ngoc Muoi, Ngai-Ching Wong

Publication date: 14 September 2022

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.15393

zbMATH Keywords

fixed pointsdistalityamenabilityreversibilityinvariant meansRadon-Nikodym propertysemitopological semigroupsasymptotically nonexpansive actions

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 (1)

Fixed points of asymptotically nonexpansive type mappings

Cites Work

• Unnamed Item
• Unnamed Item
• Existence of fixed points for asymptotically nonexpansive type actions of semigroups
• Fixed-point theorems for compact convex sets
• Fixed point properties of semigroups of non-expansive mappings
• Asymptotic pointwise contractions
• On spaces in which countably compact sets are closed, and hereditary properties
• Asymptotic centers and nonexpansive mappings in conjugate Banach spaces
• Fragmentability and continuity of semigroup actions
• Asymptotically non-expansive actions of strongly amenable semigroups and fixed points
• Fixed point properties for semigroups of nonlinear mappings and amenability
• Geometric aspects of convex sets with the Radon-Nikodym property
• Invariant means on almost periodic functions and fixed point properties
• Invariant means and fixed point properties for nonexpansive representations of topological semigroups
• Around the nonlinear Ryll-Nardzewski theorem
• On the Schauder fixed point property
• Common fixed points for commuting contraction mappings
• SEMI-ASYMPTOTIC NON-EXPANSIVE ACTIONS OF SEMI-TOPOLOGICAL SEMIGROUPS
• A common fixed point theorem for a commuting family of weak^*continuous nonexpansive mappings
• Amenable semigroups of nonexpansive mappings on weakly compact convex sets
• A Nonlinear Ergodic Theorem for an Amenable Semigroup of Nonexpansive Mappings in a Hilbert Space
• A Fixed Point Free Nonexpansive Map
• Fixed Point Theorem and Nonlinear Ergodic Theorem for Nonexpansive Semigroups Without Convexity
• On Lau’s conjecture
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Commuting Functions with No Common Fixed Point
• Function Algebras, Means, and Fixed Points
• Asymptotically Non-Expansive Actions of Topological Semigroups and Fixed Points
• Right topological groups, distal flows, and a fixed-point theorem
• Pointwise eventually non-expansive action of semi-topological semigroups and fixed points

This page was built for publication: Fixed point theorems of various nonexpansive actions of semitopological semigroups on weakly/weak* compact convex sets