Generalized viscosity approximation methods for nonexpansive mappings

DOI10.1186/1687-1812-2014-68zbMath1345.47036OpenAlexW2146539346WikidataQ59323934 ScholiaQ59323934MaRDI QIDQ286858

Peichao Duan, Songnian He

Publication date: 26 May 2016

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-68

zbMATH Keywords

strong convergencefixed pointvariational inequalitynonexpansive mappingviscosity approximation methodcontractive mapping

Mathematics Subject Classification ID

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

Related Items

A theorem of variational inclusion problems and various nonlinear mappings ⋮ Generalized viscosity approximation methods for mixed equilibrium problems and fixed point problems ⋮ The conjugate gradient method for split variational inclusion and constrained convex minimization problems ⋮ NONLINEAR ALGORITHMS FOR A COMMON SOLUTION OF A SYSTEM OF VARIATIONAL INEQUALITIES, A SPLIT EQUILIBRIUM PROBLEM AND FIXED POINT PROBLEMS ⋮ Unnamed Item ⋮ Generalized viscosity approximation method for minimization and fixed point problems of quasi-pseudocontractive mappings in Hadamard spaces ⋮ General viscosity iterative approximation for solving unconstrained convex optimization problems

Cites Work

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• Viscosity approximation methods for nonexpansive mappings and monotone mappings
• Viscosity approximation methods for nonexpansive mappings
• Viscosity approximation methods for fixed-points problems
• Viscosity approximation methods for countable families of nonexpansive mappings in Banach spaces
• Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
• Fixed points of nonexpanding maps

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