Algorithms of common solutions for a variational inequality, a split equilibrium problem and a hierarchical fixed point problem

DOI10.1186/1687-1812-2013-278zbMath1296.49006OpenAlexW2117804625WikidataQ59302017 ScholiaQ59302017MaRDI QIDQ401862

Abdellah Bnouhachem

Publication date: 27 August 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-278

zbMATH Keywords

projection methodvariational inequality problemsplit 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)

Related Items (7)

Iterative algorithm for a family of split equilibrium problems and fixed point problems in Hilbert spaces with applications ⋮ An iterative algorithm for system of generalized equilibrium problems and fixed point problem ⋮ The split combination of variational inequalities for fixed point theory of a finite family of nonspreading mappings ⋮ Krasnoselski-Mann type iterative method for hierarchical fixed point problem and split mixed equilibrium 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 ⋮ Iterative algorithm for a split equilibrium problem and fixed problem for finite asymptotically nonexpansive mappings in Hlbert space ⋮ On solving split mixed equilibrium problems and fixed point problems of hybrid-type multivalued mappings in Hilbert spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Iterative approximation of a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem
• Iterative algorithms for hierarchical fixed points problems and variational inequalities
• Explicit hierarchical fixed point approach to variational inequalities
• Split monotone variational inclusions
• Strong convergence algorithms for hierarchical fixed points problems and variational inequalities
• Algorithms for the split variational inequality problem
• 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 hybrid projection algorithm for finding solutions of mixed equilibrium problem and variational inequality problem
• A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization
• Equilibrium programming using proximal-like algorithms
• Mixed equilibrium problems: sensitivity analysis and algorithmic aspect.
• Convergence of generalized proximal point algorithms
• 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
• The Split Common Null Point Problem
• A Geometrical Look at Iterative Methods for Operators with Fixed Points
• A Hierarchical Presentation of Operators with Fixed Points on Hilbert Spaces
• 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

This page was built for publication: Algorithms of common solutions for a variational inequality, a split equilibrium problem and a hierarchical fixed point problem