Approximate solutions of variational inequalities on sets of common fixed points of a one-parameter semigroup of nonexpansive mappings

DOI10.1007/s10957-009-9581-9zbMath1178.49007OpenAlexW2050928164MaRDI QIDQ1039380

Jen-Chih Yao, Lu-Chuan Ceng, Siegfried Schaible

Publication date: 27 November 2009

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-009-9581-9

zbMATH Keywords

strong convergencevariational inequalitiesnonexpansive mappingsfixed-point problemsviscosity approximation methodsreflexive and strictly convex Banach spacesuniformly Gâteaux differentiable norms

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (1)

Hybrid algorithms of nonexpansive semigroups for variational inequalities

Cites Work

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• On viscosity iterative methods for variational inequalities
• On Reich's strong convergence theorems for resolvents of accretive operators
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Product formulas, nonlinear semigroups, and accretive operators
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Viscosity approximation methods for nonexpansive mappings
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Viscosity approximation methods for fixed-points problems
• Strong convergence of a hybrid viscosity approximation method with perturbed mappings for nonexpansive and accretive operators
• Convergence theorems of iterative algorithms for a family of finite nonexpansive mappings
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• Iterative Algorithms for Nonlinear Operators
• Construction of sunny nonexpansive retractions in Banach spaces
• Strong Convergence of an Iterative Method with Perturbed Mappings for Nonexpansive and Accretive Operators
• Fixed points of nonexpanding maps
• Convergence theorems for nonexpansive mappings and feasibility problems

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