Fixed point theorems for uniformly Lipschitzian semigroups in Hilbert spaces

DOI10.1016/0022-247X(87)90152-1zbMath0637.47028MaRDI QIDQ1098395

Hajime Ishihara, Takahashi, Wataru

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

fixed pointleft reversible semigroupleft invariant meanuniformly k-Lipschitzian semigroup

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 ⋮ A Nonlinear Ergodic Theorem for a Reversible Semigroup of Lipschitzian Mappings in a Hilbert Space ⋮ Modules of convexity, characteristic of convexity and fixed point theorems ⋮ 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 ⋮ On the existence of fixed points and nonlinear ergodic retractions for Lipschitzian semigroups without convexity ⋮ Asymptotic behavior of almost-orbits of reversible semigroups of Lipschitzian mappings ⋮ Unnamed Item ⋮ Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces ⋮ Lipschitzian semigroups in Hilbert space ⋮ Fixed point theorems for uniformly Lipschitzian semigroups in uniformly convex spaces

Cites Work

• Semigroup of nonexpansive mappings on a Hilbert space
• Topological semigroups and fixed points
• Uniformly Lipschitzian Semigroups in Hilbert Space
• A Nonlinear Ergodic Theorem for an Amenable Semigroup of Nonexpansive Mappings in a Hilbert Space
• Non-Expansive Actions of Topological Semigroups and Fixed Points
• A fixed point theorem for transformations whose iterates have uniform Lipschitz constant

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