Composite viscosity methods for common solutions of general mixed equilibrium problem, variational inequalities and common fixed points
DOI10.1186/s13660-015-0736-yzbMath1335.49018OpenAlexW1500281830WikidataQ59434871 ScholiaQ59434871MaRDI QIDQ264941
Abdul Latif, Lu-Chuan Ceng, Abdullah Eqal Al-Mazrooei
Publication date: 1 April 2016
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-015-0736-y
variational inequalitiesnonexpansive mappingfixed-pointsinverse strongly monotone mappingcomposite viscosity iterative algorithmgeneral mixed equilibrium problem
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Numerical methods based on necessary conditions (49M05) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical methods for variational inequalities and related problems (65K15)
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- On general systems of variational inequalities
- Viscosity methods for common solutions of equilibrium and variational inequality problems via multi-step iterative algorithms and common fixed points
- Relaxed extragradient methods for finding minimum-norm solutions of the split feasibility problem
- Hybrid extragradient-like methods for generalized mixed equilibrium problems, systems of generalized equilibrium problems and optimization problems
- Finding common solutions of a variational inequality, a general system of variational inequalities, and a fixed-point problem via a hybrid extragradient method
- Relaxed extragradient iterative methods for variational inequalities
- An extragradient method for solving split feasibility and fixed point problems
- Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method
- Weak convergence of an iterative method for pseudomonotone variational inequalities and fixed-point problems
- Strong convergence theorem by an extragradient method for fixed point problems and variational inequality problems
- Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
- A new iteration method for nonexpansive mappings and monotone mappings in Hilbert spaces
- A hybrid projection algorithm for finding solutions of mixed equilibrium problem and variational inequality problem
- Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems
- Two-step iterative algorithms for hierarchical fixed point problems and variational inequality problems
- Iterative approaches to solving equilibrium problems and fixed point problems of infinitely many nonexpansive mappings
- A remark on vector-valued equilibria and generalized monotonicity
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- Viscosity approximation methods for nonexpansive mappings
- Viscosity approximation methods for fixed-points problems
- A viscosity splitting algorithm for solving inclusion and equilibrium problems
- An extragradient-like approximation method for variational inequality problems and fixed point problems
- Hybrid iterative method for systems of generalized equilibria with constraints of variational inclusion and fixed point problems
- Variable KM-like algorithms for fixed point problems and split feasibility problems
- Towards viscosity approximations of hierarchical fixed-point problems
- An iterative method for finding common solutions of equilibrium and fixed point problems
- Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings
- A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
- Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
- A relaxed extragradient-like method for a generalized mixed equilibrium problem, a general system of generalized equilibria and a fixed point problem
- Hybrid viscosity methods for equilibrium problems, variational inequalities, and fixed point problems
- Iterative Algorithms for Nonlinear Operators
- Monotone Operators and the Proximal Point Algorithm
- Strong Convergence Theorem by a Hybrid Method for Nonexpansive Mappings and Lipschitz-Continuous Monotone Mappings
- Strong convergence to common fixed points of infinite nonexpansive mappings and applications