Asymptotically Non-Expansive Actions of Topological Semigroups and Fixed Points

DOI10.1112/blms/3.3.343zbMath0225.54048OpenAlexW2059159707MaRDI QIDQ5631781

R. D. Holmes, Anthony To-Ming Lau

Publication date: 1971

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/3.3.343

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (18)

Fixed point theorems of various nonexpansive actions of semitopological semigroups on weakly/weak* compact convex sets ⋮ Strong convergence theorems for fixed points of asymptotically nonexpansive semigroups in Banach spaces ⋮ Viscosity approximation to a common solution of variational inequality problems and fixed point problems for Lipschitzian semigroup in Banach spaces ⋮ Asymptotically non-expansive actions of strongly amenable semigroups and fixed points ⋮ Weak\(^*\) fixed point property of reduced Fourier-Stieltjes algebra and generalization of Baggett's theorem ⋮ Strongly amenable semigroups and nonlinear fixed point properties ⋮ Common Fixed Point Theorems for Almost Weakly Periodic Nonexpansive Mappings ⋮ Fixed point properties for semigroups of nonlinear mappings on unbounded sets ⋮ Common Fixed Point Theorems for Almost Weakly Periodic Nonexpansive Mappings ⋮ Normal structure and common fixed point properties for semigroups of nonexpansive mappings in Banach spaces ⋮ Nonexpansive semigroups in \(\mathrm{CAT}(\kappa)\) spaces ⋮ Existence of fixed points for asymptotically nonexpansive type actions of semigroups ⋮ Nonlinear ergodic theorems and weak convergence theorems for reversible semigroup of asymptotically nonexpansive mappings in Banach spaces ⋮ Fixed point properties, invariant means and invariant projections related to hypergroups ⋮ Approximating common fixed points of Lipschitzian semigroup in smooth Banach spaces ⋮ The retractions onto the common fixed points of some families and semigroups of mappings ⋮ Application of the product net technique and Kadec-Klee property to study nonlinear ergodic theorems and weak convergence theorems in uniformly convex multi-Banach spaces ⋮ Existence of fixed points and retractions for asymptotically nonexpansive semigroups in locally convex spaces

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