On the existence of fixed points and ergodic retractions for Lipschitzian semigroups in Hilbert spaces

DOI10.1016/0362-546X(90)90136-5zbMath0695.47063OpenAlexW2070982818MaRDI QIDQ3471108

Noriko Mizoguchi, Takahashi, Wataru

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90136-5

zbMATH Keywords

semitopological semigroupcommon fixed pointbounded orbitleft amenabilityleft invariant submeansleft reversibilitysemigroup of Lipschitzian mappings

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Fixed-point theorems (47H10)

Related Items

Asymptotic behavior of uniformly asymptotically almost nonexpansive curves in a Hilbert space ⋮ Fixed point theorems for Lipschitzian semigroups in Banach spaces ⋮ Nonlinear ergodic theorems of nonexpansive type mappings ⋮ Fixed point properties for nonexpansive representations of topological semigroups ⋮ On the existence of fixed points and nonlinear ergodic retractions for Lipschitzian semigroups without convexity ⋮ Nonlinear ergodic theorems for general curves defined on general semigroups. ⋮ Nonlinear ergodic theorems for semigroups of nonexpansive mappings and left ideals ⋮ Lipschitzian semigroups in Hilbert space ⋮ Fixed point theorems and nonlinear ergodic theorems for nonlinear semigroups and their applications ⋮ Asymptotic behavior of almost-orbits of nonexpansive semigroups without convexity ⋮ Ergodic theorems for nonexpansive curves defined on general semigroups in a Hilbert space ⋮ Unnamed Item ⋮ Algebraic and analytic properties of semigroups related to fixed point properties of non-expansive mappings ⋮ Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces ⋮ Fixed point properties for semigroups on weak$^{*}$ closed sets of dual Banach spaces

Cites Work

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