Viscosity approximation methods for monotone mappings and a countable family of nonexpansive mappings

DOI10.2478/s12175-011-0010-9zbMath1261.47082OpenAlexW2041525802WikidataQ59307078 ScholiaQ59307078MaRDI QIDQ3016462

Somyot Plubtieng, Poom Kumam

Publication date: 15 July 2011

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-011-0010-9

zbMATH Keywords

accretive operatorstrong convergencevariational inequalitynonexpansive mappingequilibrium problemmonotone mapping

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A viscosity iterative algorithm for the optimization problem system ⋮ Strong convergence theorems based on the viscosity approximation method for a countable family of nonexpansive mappings

Cites Work

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• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Iterative Algorithms for Nonlinear Operators
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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