Hybrid steepest-descent viscosity methods for triple hierarchical variational inequalities with constraints of mixed equilibria and bilevel variational inequalities
DOI10.22436/jnsa.010.03.23zbMath1412.49017OpenAlexW2595584221MaRDI QIDQ4631942
Ching-Feng Wen, Lu-Chuan Ceng, Yeong-Cheng Liou, Abdul Latif
Publication date: 23 April 2019
Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.22436/jnsa.010.03.23
generalized mixed equilibrium problemtriple hierarchical variational inequalityhybrid steepest-descent viscosity method
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Numerical methods based on necessary conditions (49M05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)
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Cites Work
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- Strong convergence of relaxed hybrid steepest-descent methods for triple hierarchical constrained optimization
- Hybrid iterative method for finding common solutions of generalized mixed equilibrium and fixed point problems
- Relaxed extragradient methods for finding minimum-norm solutions of the split feasibility problem
- An extragradient algorithm for solving bilevel pseudomonotone variational inequalities
- Iterative algorithm for solving triple-hierarchical constrained optimization problem
- Convergence of hybrid steepest-descent methods for variational inequalities
- Iterative methods for triple hierarchical variational inequalities in Hilbert spaces
- 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
- Neural networks for a class of bi-level variational inequalities
- 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
- Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
- Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
- Nonsmooth approach to optimization problems with equilibrium constraints. Theory, applications and numerical results
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Modified combined relaxation method for general monotone equilibrium problems in Hilbert spaces
- An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings
- An extragradient method for fixed point problems and variational inequality problems
- A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
- A new hybrid-extragradient method for generalized mixed equilibrium problems, fixed point problems and variational inequality problems
- Relaxed hybrid steepest-descent methods with variable parameters for triple-hierarchical variational inequalities
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Minimum-norm solution of variational inequality and fixed point problem in banach spaces
