Multi-step iterative algorithms with regularization for triple hierarchical variational inequalities with constraints of mixed equilibria, variational inclusions, and convex minimization
DOI10.1186/1029-242X-2014-414zbMath1334.49025OpenAlexW2101074105WikidataQ59324580 ScholiaQ59324580MaRDI QIDQ260440
Cheng Liou, Lu-Chuan Ceng, Ching-Feng Wen
Publication date: 21 March 2016
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1029-242x-2014-414
nonexpansive mappingregularization methodvariational inclusionviscosity approximation methodconvex minimization problemfixed-pointsgeneralized mixed equilibrium problemgradient-projection algorithmhybrid steepest-descent methodtriple hierarchical variational inequality
Convex programming (90C25) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Numerical methods based on necessary conditions (49M05) Set-valued and variational analysis (49J53) 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) Variational and other types of inclusions (47J22)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hybrid iterative method for finding common solutions of generalized mixed equilibrium and fixed point problems
- Iterative algorithms with regularization for hierarchical variational inequality problems and convex minimization problems
- Relaxed extragradient methods for finding minimum-norm solutions of the split feasibility problem
- Strong convergence for an iterative method for the triple-hierarchical constrained optimization problem
- Relaxed extragradient-like method for general system of generalized mixed equilibria and fixed point problem
- Hybrid extragradient-like methods for generalized mixed equilibrium problems, systems of generalized equilibrium problems and optimization problems
- Iterative algorithm for solving triple-hierarchical constrained optimization problem
- Some iterative methods for finding fixed points and for solving constrained convex minimization problems
- Convergence of hybrid steepest-descent methods for variational inequalities
- Averaged mappings and the gradient-projection algorithm
- Relaxed extragradient iterative methods for variational inequalities
- Strong and weak convergence theorems for generalized mixed equilibrium problem with perturbation and fixed pointed problem of infinitely many nonexpansive mappings
- Iterative methods for triple hierarchical variational inequalities in Hilbert spaces
- An extragradient method for solving split feasibility and fixed point problems
- Characterization of \(H\)-monotone operators with applications to variational inclusions
- Strong convergence theorem by an extragradient method for fixed point problems and variational inequality problems
- Algorithms of common solutions to quasi variational inclusion and fixed point problems
- Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
- Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems
- Common solutions of an iterative scheme for variational inclusions, equilibrium problems, 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
- Quelques propriétés des opérateurs angle-bornes et n-cycliquement monotones
- A new completely general class of variational inclusions with noncompact valued mappings
- Algorithms of common solutions for generalized mixed equilibria, variational inclusions, and constrained convex minimization
- \(H\)-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces.
- Strong and weak convergence theorems for general mixed equilibrium problems and variational inequality problems and fixed point problems in Hilbert spaces
- Approximate proximal methods in vector optimization
- 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
- Iterative approaches to convex feasibility problems in Banach spaces
- Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
- A new hybrid-extragradient method for generalized mixed equilibrium problems, fixed point problems and variational inequality problems
- A relaxed extragradient-like method for a generalized mixed equilibrium problem, a general system of generalized equilibria and a fixed point problem
- Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
- Iterative Algorithms for Nonlinear Operators
- Monotone Operators and the Proximal Point Algorithm
- A unified treatment of some iterative algorithms in signal processing and image reconstruction
- Solving monotone inclusions via compositions of nonexpansive averaged operators