Strong convergence algorithm for approximating the common solutions of a variational inequality, a mixed equilibrium problem and a hierarchical fixed-point problem

DOI10.1186/1029-242X-2014-154zbMath1314.49002OpenAlexW2162006424WikidataQ59323991 ScholiaQ59323991MaRDI QIDQ2258697

Abdellah Bnouhachem

Publication date: 26 February 2015

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-154

zbMATH Keywords

variational inequalityprojection methodmixed equilibrium problemhierarchical 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) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical methods for variational inequalities and related problems (65K15)

Related Items

An iterative algorithm for system of generalized equilibrium problems and fixed point problem ⋮ A hybrid iterative method for a combination of equilibria problem, a combination of variational inequality problems and a hierarchical fixed point problem ⋮ On split generalised mixed equilibrium problems and fixed-point problems with no prior knowledge of operator norm ⋮ An iterative method for a common solution of split generalized equilibrium problems and fixed points of a finite family of nonexpansive mapping ⋮ A strong convergence theorem for split mixed equilibrium and fixed point problems for nonexpansive mappings ⋮ Krasnoselski-Mann type iterative method for hierarchical fixed point problem and split mixed equilibrium problem ⋮ Unnamed Item ⋮ On split equality for finite family of generalized mixed equilibrum problem and fixed point problem in real Banach spaces ⋮ Split common fixed point problems for demicontractive operators ⋮ Hybrid iterations for the fixed point problem and variational inequalities ⋮ Iterative algorithm for a split equilibrium problem and fixed problem for finite asymptotically nonexpansive mappings in Hlbert space ⋮ An Iterative Method for a Common Solution of a Combination of the Split Equilibrium Problem, a Finite Family of Nonexpansive Mapping and a Combination of Variational Inequality Problem

Cites Work

• Unnamed Item
• Unnamed Item
• The combination of the set of solutions of equilibrium problem for convergence theorem of the set of fixed points of strictly pseudo-contractive mappings and variational inequalities problem
• Some iterative methods for finding fixed points and for solving constrained convex minimization problems
• Iterative algorithms for hierarchical fixed points problems and variational inequalities
• Explicit hierarchical fixed point approach to variational inequalities
• Strong convergence algorithms for hierarchical fixed points problems and variational inequalities
• Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method
• Moudafi's viscosity approximations with Meir--Keeler contractions
• Convergence theorems of fixed points for \(\kappa \)-strict pseudo-contractions in Hilbert spaces
• A general iterative algorithm for nonexpansive mappings in Hilbert spaces
• A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization
• On a two-step algorithm for hierarchical fixed point problems and variational inequalities
• Equilibrium programming using proximal-like algorithms
• Mixed equilibrium problems: sensitivity analysis and algorithmic aspect.
• A modified projection method for a common solution of a system of variational inequalities, a split equilibrium problem and a hierarchical fixed-point problem
• Strong convergence of a modified iterative algorithm for hierarchical fixed point problems and variational inequalities
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Iterative methods for strict pseudo-contractions in Hilbert spaces
• A new iterative algorithm of solution for equilibrium problems, variational inequalities and fixed point problems in a Hilbert space
• Iterative Algorithms for Nonlinear Operators
• Variational inequalities
• On the Maximality of Sums of Nonlinear Monotone Operators
• 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