Ishikawa iteration process for asymptotic pointwise nonexpansive mappings in metric spaces

DOI10.1186/1687-1812-2013-98zbMath1423.54076OpenAlexW2163899740WikidataQ59304955 ScholiaQ59304955MaRDI QIDQ2249121

Buthinah Abdullatif Bin Dehaish

Publication date: 8 July 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-98

zbMATH Keywords

fixed pointasymptotically nonexpansive mappingIshikawa iteration processuniformly convex metric spaceuniformly Lipschitzian mappingasymptotic pointwise nonexpansive mappinginequality of Bruhat and Tits

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (2)

Common fixed point and solution of nonlinear functional equations ⋮ Strong convergence of an Ishikawa-type algorithm in CAT(0) spaces

Cites Work

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• Fixed point iteration processes for asymptotic pointwise nonexpansive mapping in modular function spaces
• On asymptotic pointwise nonexpansive mappings in modular function spaces
• Strong convergence of a general iteration scheme in \(CAT(0)\) spaces
• Fixed point iteration processes for asymptotic pointwise nonexpansive mappings in Banach spaces
• Iterative construction of fixed points of asymptotically nonexpansive mappings
• On asymptotic pointwise contractions in metric spaces
• A quadratic rate of asymptotic regularity for CAT(0)-spaces
• Asymptotic pointwise contractions
• Mann iteration process for asymptotic pointwise nonexpansive mappings in metric spaces
• Fixed points of asymptotic contractions
• Fixed points of single- and set-valued mappings in uniformly convex metric spaces with no metric convexity
• Reductive groups over a local field
• Fixed point theorems in CAT(0) spaces and \(\mathbb R\)-trees
• Nonexpansive iterations in hyperbolic spaces
• Inequalities in Banach spaces with applications
• Fixed Points by a New Iteration Method
• An Introduction to Metric Spaces and Fixed Point Theory
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Mean Value Methods in Iteration

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