An iterative method for approximating the common solutions of a variational inequality, a mixed equilibrium problem and a hierarchical fixed point problem

DOI10.1186/1029-242X-2013-490zbMath1293.49010WikidataQ59302061 ScholiaQ59302061MaRDI QIDQ2250384

Abdellah Bnouhachem, Muhammad Aslam Noor

Publication date: 7 July 2014

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

zbMATH Keywords

variational inequalityprojection methodmixed equilibrium problemstrictly pseudo-contractive mappinghierarchical fixed-point problem

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (3)

An iterative algorithm for system of generalized equilibrium problems and fixed point problem ⋮ The common solution for a generalized equilibrium problem, a variational inequality problem and a hierarchical fixed point problem ⋮ A modified projection method for a common solution of a system of variational inequalities, a split equilibrium problem and a hierarchical fixed-point problem

Cites Work

• Iterative algorithms for hierarchical fixed points problems and variational inequalities
• Explicit hierarchical fixed point approach to variational inequalities
• Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method
• Convergence theorems of fixed points for \(\kappa \)-strict pseudo-contractions in Hilbert spaces
• A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization
• Mixed equilibrium problems: sensitivity analysis and algorithmic aspect.
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Iterative methods for strict pseudo-contractions in Hilbert spaces
• Iterative Algorithms for Nonlinear Operators
• Variational inequalities
• Krasnoselski–Mann iteration for hierarchical fixed-point problems
• A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces
• A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces

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