Relaxed extragradient methods with regularization for general system of variational inequalities with constraints of split feasibility and fixed point problems
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Publication:370285
DOI10.1155/2013/891232zbMath1272.49061OpenAlexW2059385368WikidataQ58917666 ScholiaQ58917666MaRDI QIDQ370285
Lu-Chuan Ceng, Adrian Petruşel, Jen-Chih Yao
Publication date: 19 September 2013
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/891232
variational inequalitiesregularizationsplit feasibility problemfixed-pointsstrictly pseudocontractive mappingrelaxed extragradient methods
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
Extra-gradient methods for solving split feasibility and fixed point problems ⋮ Relaxed viscosity approximation methods with regularization for constrained minimization problems ⋮ Multistep hybrid extragradient method for triple hierarchical variational inequalities ⋮ Some modified extragradient methods for solving split feasibility and fixed point problems ⋮ Strong convergence of modified algorithms based on the regularization for the constrained convex minimization problem ⋮ Hybrid methods with regularization for minimization problems and asymptotically strict pseudocontractive mappings in the intermediate sense ⋮ Hybrid steepest-descent methods for systems of variational inequalities with constraints of variational inclusions and convex minimization problems ⋮ Generalized extragradient iterative methods for solving split feasibility and fixed point problems in Hilbert spaces ⋮ Hybrid extragradient viscosity method for general system of variational inequalities ⋮ A unified extragradient method for systems of hierarchical variational inequalities in a Hilbert space ⋮ Implicit and explicit iterative methods for mixed equilibria with constraints of system of generalized equilibria and hierarchical fixed point problem
Cites Work
- Unnamed Item
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- Hybrid extragradient method for general equilibrium problems and fixed point problems in Hilbert space
- 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
- Modified extragradient methods for strict pseudo-contractions and monotone mappings
- Perturbed projections and subgradient projections for the multiple-sets split feasibility problem
- Strong convergence theorem by an extragradient method for fixed point problems and variational inequality problems
- Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
- Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities
- Relaxed viscosity approximation methods for fixed point problems and variational inequality problems
- A multiprojection algorithm using Bregman projections in a product space
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
- Solving non-additive traffic assignment problems: a descent method for co-coercive variational inequalities
- Viscosity approximation methods for generalized equilibrium problems and fixed point problems
- An extragradient-like approximation method for variational inequality problems and fixed point problems
- Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
- Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
- A Dual Approach to Linear Inverse Problems with Convex Constraints
- Iterative Algorithms for Nonlinear Operators
- The multiple-sets split feasibility problem and its applications for inverse problems
- A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem
- Projection methods for variational inequalities with application to the traffic assignment problem
- Iteration methods for convexly constrained ill-posed problems in hilbert space
- A unified treatment of some iterative algorithms in signal processing and image reconstruction
- Iterative oblique projection onto convex sets and the split feasibility problem
- Solving monotone inclusions via compositions of nonexpansive averaged operators
- The relaxed CQ algorithm solving the split feasibility problem
- Strong Convergence Theorem by a Hybrid Method for Nonexpansive Mappings and Lipschitz-Continuous Monotone Mappings
- Signal Recovery by Proximal Forward-Backward Splitting
- Variational inequalities
- On the Maximality of Sums of Nonlinear Monotone Operators
- A note on the CQ algorithm for the split feasibility problem
- Several solution methods for the split feasibility problem
- An Iteration Formula for Fredholm Integral Equations of the First Kind