A Nonlinear Ergodic Theorem for a Reversible Semigroup of Lipschitzian Mappings in a Hilbert Space

DOI10.2307/2046990zbMath0692.47010OpenAlexW4244624763MaRDI QIDQ3034383

Takahashi, Wataru, Hajime Ishihara

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046990

zbMATH Keywords

asymptotically nonexpansive mappingnonlinear ergodic theoremright reversible semitopological semigroupset of common fixed pointsexistence of a nonexpansive retraction

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Asymptotic behavior of uniformly asymptotically almost nonexpansive curves in a Hilbert space, On the existence of fixed points and ergodic retractions for Lipschitzian semigroups in Hilbert spaces, Asymptotic behavior of almost-orbits of semigroups of Lipschitzian mappings in Banach spaces, Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces, Strong convergence theorem for asymptotically nonexpansive mappings, Asymptotic behavior of almost-orbits of reversible semigroups of Lipschitzian mappings, Nonlinear ergodic theorems for general curves defined on general semigroups., Strong convergence theorem for two commutative asymptotically nonexpansive mappings in Hilbert space

Cites Work

• Unnamed Item
• Unnamed Item
• Fixed point theorems for uniformly Lipschitzian semigroups in Hilbert spaces
• Semigroup of nonexpansive mappings on a Hilbert space
• Nonlinear ergodic theorems for nonexpansive mappings in Hilbert spaces
• Convex Sets and Nearest Points
• Fixed Point Theorems for Lipspchitzian Semigroups
• On Asymptotic Centers and Fixed Points of Nonexpansive Mappings
• A Nonlinear Ergodic Theorem for an Amenable Semigroup of Nonexpansive Mappings in a Hilbert Space
• Construction of Fixed Points for Asymptotically Nonexpansive Mappings
• Uniformly Lipschitzian Families of Transformations in Banach Spaces