Nonexpansive Actions of Topological Semigroups on Strictly Convex Banach Spaces and Fixed Points

DOI10.2307/2046797zbMath0691.47045OpenAlexW4251730860MaRDI QIDQ3032868

Wojciech Bartoszek

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046797

zbMATH Keywords

common fixed pointtrajectorynonexpansive mappingsleft invariant meanclosed convex subset of a strictly convex Banach spacecontinuous representation of a semitopological semigroup

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 (max. 100)

Invariant means and semigroups of nonexpansive mappings on uniformly convex Banach spaces ⋮ Fixed point theorems and nonlinear ergodic theorems for nonlinear semigroups and their applications ⋮ Normal structure and common fixed point properties for semigroups of nonexpansive mappings in Banach spaces

Cites Work

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• Semigroup of nonexpansive mappings on a Hilbert space
• Invariant means on almost periodic functions and fixed point properties
• On the rest points of a nonlinear nonexpansive semigroup
• Asymptotic behavior of nonlinear contraction semigroups
• The Structure of ω-Limit Sets of Nonexpansive Maps
• Generators and strong generators in ergodic theory

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