Fixed point theorem for amenable semigroup of nonexpansive mappings

DOI10.2996/kmj/1138845984zbMath0197.11805OpenAlexW1967886148MaRDI QIDQ5594099

Takahashi, Wataru

Publication date: 1969

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138845984

zbMATH Keywords

functional analysis

Related Items (25)

Coincidence point theorems in probabilistic metric spaces with a convex structure ⋮ Invariant ideals for amenable semigroups of Markov operators ⋮ A Nonlinear Ergodic Theorem for an Amenable Semigroup of Nonexpansive Mappings in a Hilbert Space ⋮ Invariant functions for amenable semigroups of positive contractions on $L^{1}$ ⋮ Fixed point theorems for left amenable semigroups of non-Lipschitzian mappings in Banach spaces ⋮ A convexity in metric space and nonexpansive mappings. I. ⋮ Fixed points of reversible semigroups of nonexpansive mappings ⋮ Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces ⋮ Fixed point theorems for generalized nonexpansive mappings ⋮ Amenability and Fixed Point Properties of Semitopological Semigroups in Modular Vector Spaces ⋮ Asymptotically non-expansive actions of strongly amenable semigroups and fixed points ⋮ Fixed point properties of semigroups of non-expansive mappings ⋮ AMENABLE SEMIGROUPS OF NONLINEAR OPERATORS IN UNIFORMLY CONVEX BANACH SPACES ⋮ A note on Mitchell's fixed point theorem for nonexpansive mappings ⋮ 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 ⋮ Common Fixed Points for Semigroups of Mappings ⋮ Fixed point theorems for one-parameter asymptotically nonexpansive semigroups in general Banach spaces ⋮ Existence of fixed points for asymptotically nonexpansive type actions of semigroups ⋮ Invariant means on weakly almost periodic functions and generalized fixed point properties ⋮ Nonlinear ergodic theorems for nonexpansive mappings in Hilbert spaces ⋮ Algebraic and analytic properties of semigroups related to fixed point properties of non-expansive mappings ⋮ Fixed point properties for semigroup of nonexpansive mappings on Fréchet spaces ⋮ Preface ⋮ Existence of fixed points and retractions for asymptotically nonexpansive semigroups in locally convex spaces

Cites Work

• Amenable semigroups
• Fixed-point theorems for compact convex sets
• Common fixed points for commuting contraction mappings
• A convexity in metric space and nonexpansive mappings. I.
• Unnamed Item

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