An iterative algorithm to approximate a common element of the set of common fixed points for a finite family of strict pseudo-contractions and of the set of solutions for a modified system of variational inequalities

DOI10.1186/1687-1812-2013-143zbMath1475.47063OpenAlexW2088781997WikidataQ59300116 ScholiaQ59300116MaRDI QIDQ2252800

Atid Kangtunyakarn

Publication date: 23 July 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-143

zbMATH Keywords

pseudo-contractive mapping\(S\)-mappingmodification of a general system of variational inequalities

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

• Unnamed Item
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• An extragradient-like approximation method for variational inequalities and fixed point problems
• Strong convergence of a new iterative scheme for a finite family of strict pseudo-contractions
• Strong convergence theorems for variational inequalities and fixed point problems of asymptotically strict pseudocontractive mappings in the intermediate sense
• Iterative approximation of fixed points for asymptotically strict pseudocontractive type mappings in the intermediate sense
• On modified iterative method for nonexpansive mappings and monotone mappings
• Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities
• A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization
• Relaxed composite implicit iteration process for common fixed points of a finite family of strictly pseudocontractive mappings
• An iterative approach to quadratic optimization
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
• A Unified Hybrid Iterative Method for Solving Variational Inequalities Involving Generalized Pseudocontractive Mappings
• Variational inequalities
• Pseudomonotone Complementarity Problems and Variational Inequalities