Fixed point of asymptotic pointwise nonexpansive semigroups in metric spaces

DOI10.1186/1687-1812-2013-230zbMath1292.47038OpenAlexW2123317912WikidataQ59304623 ScholiaQ59304623MaRDI QIDQ2510612

Mohamed Amine Khamsi, Saleh Abdullah Al-Mezel

Publication date: 1 August 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-230

zbMATH Keywords

fixed pointnonexpansive mappingsemigroupinequalityuniformly convex metric spacenearest point projectionuniformly Lipschitzian mappinghyperbolic metric spaceMann process

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• On asymptotic pointwise nonexpansive mappings in modular function spaces
• On asymptotic pointwise contractions in metric spaces
• A quadratic rate of asymptotic regularity for CAT(0)-spaces
• Asymptotic pointwise contractions
• On asymptotic pointwise contractions in modular function spaces
• A fixed point theorem for families of nonexpansive mappings
• A common fixed point theorem for a commuting family of nonexpansive mappings
• Fixed-point theorems for families of contraction mappings
• Nonexpansive mappings and fixed-points in Banach spaces
• Common fixed points for commuting contraction mappings
• Reductive groups over a local field
• Fixed point theorems in CAT(0) spaces and \(\mathbb R\)-trees
• Spaces with non-positive curvature
• Nonexpansive iterations in hyperbolic spaces
• On Metric Spaces with Uniform Normal Structure
• Uniform convexity of the hyperbolic metric and fixed points of holomorphic mappings in the Hilbert ball
• On asymptotically nonexpansive mappings in hyperconvex metric spaces
• An ergodic theorem for nonlinear semigroups of Lipschitzian mappings in Banach spaces
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE