Approximation of common fixed points of a countable family of continuous pseudocontractions in a uniformly smooth Banach space

DOI10.1016/j.aml.2011.05.032zbMath1231.65098OpenAlexW2004444018MaRDI QIDQ654235

Gang Cai, Shang Quan Bu

Publication date: 28 December 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.05.032

zbMATH Keywords

strong convergencefixed pointBanach spacepseudocontractionimplicit iterative algorithm

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

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Cites Work

• Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process
• Convergence theorems of iterative algorithms for continuous pseudocontractive mappings
• Strong convergence theorems of a general iterative process for a finite family of \(\lambda \)i-strict pseudo-contractions in q-uniformly smooth Banach spaces
• Implicit iterative algorithms for treating strongly continuous semigroups of Lipschitz pseudocontractions
• Zeros of accretive operators
• Viscosity approximation methods for nonexpansive mappings
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Strong convergence of an iterative algorithm for pseudocontractive mapping in Banach spaces
• A strong convergence theorem for contraction semigroups in Banach spaces