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
strong convergencevariational inequalitiesnonexpansive mappingsfixed-point problemsviscosity approximation methodsreflexive and strictly convex Banach spacesuniformly Gâteaux differentiable norms
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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
This page was built for publication: Approximate solutions of variational inequalities on sets of common fixed points of a one-parameter semigroup of nonexpansive mappings
