Fixed point solutions of variational inequalities for a finite family of asymptotically nonexpansive mappings without common fixed point assumption

DOI10.1016/j.camwa.2008.05.002zbMath1165.49007OpenAlexW2167421899MaRDI QIDQ2389715

Ngai-Ching Wong, Jen-Chih Yao, Lu-Chuan Ceng

Publication date: 18 July 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.05.002

zbMATH Keywords

variational inequalitynormal structureasymptotically nonexpansive mappingviscosity approximation

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items

Multi-step implicit iterative methods with regularization for minimization problems and fixed point problems ⋮ An extragradient-like approximation method for variational inequalities and fixed point problems ⋮ Strong convergence theorems for semigroups of asymptotically nonexpansive mappings in Banach spaces ⋮ Hybrid viscosity CQ method for finding a common solution of a variational inequality, a general system of variational inequalities, and a fixed point problem ⋮ Strong convergence theorems for variational inequalities and fixed point problems of asymptotically strict pseudocontractive mappings in the intermediate sense ⋮ Weak and strong convergence theorems for asymptotically pseudo-contraction mappings in the intermediate sense in Hilbert spaces ⋮ A modified mixed Ishikawa iteration for common fixed points of two asymptotically quasi pseudocontractive type non-self-mappings ⋮ An implicit iteration method for variational inequalities over the set of common fixed points for a finite family of nonexpansive mappings in Hilbert spaces ⋮ Strong convergence of approximated iterations for asymptotically pseudocontractive mappings ⋮ Hybrid extragradient methods for asymptotically strict pseudo-contractions in the intermediate sense and variational inequality problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Normal structure coefficients for Banach spaces
• Nonstandard methods in fixed point theory
• Remarks on asymptotically nonexpansive mappings
• Viscosity approximation methods for nonexpansive mappings
• Viscosity approximation methods for fixed-points problems
• Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings
• Fixed point solutions of variational inequalities for asymptotically nonexpansive mappings in Banach spaces
• On the convergence of implicit iteration process with error for a finite family of asymptotically nonexpansive mappings
• Iterative Algorithms for Nonlinear Operators
• Fixed point theorems for asymptotically nonexpansive mappings
• Convergence of paths and approximation of fixed points of asymptotically nonexpansive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings

This page was built for publication: Fixed point solutions of variational inequalities for a finite family of asymptotically nonexpansive mappings without common fixed point assumption