Hybrid implicit steepest-descent methods for triple hierarchical variational inequalities with hierarchical variational inequality constraints
DOI10.22436/jnsa.010.07.47zbMath1412.49018OpenAlexW2741416696MaRDI QIDQ4631347
Yeong-Cheng Liou, Lu-Chuan Ceng, Ching-Feng Wen, Ching-Hua Lo
Publication date: 24 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.010.07.47
global convergencenonexpansive mappingtriple hierarchical variational inequalityinverse-strong monotonicityhybrid implicit steepest-descent algorithmMann's implicit iteration 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)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multi-step extragradient method with regularization for triple hierarchical variational inequalities with variational inclusion and split feasibility constraints
- Strong convergence of relaxed hybrid steepest-descent methods for triple hierarchical constrained optimization
- Strong convergence for an iterative method for the triple-hierarchical constrained optimization 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 algorithms for general multivalued variational inequalities
- Strong convergence of a modified extragradient method to the minimum-norm solution of variational inequalities
- Iterative methods for triple hierarchical variational inequalities in Hilbert spaces
- Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method
- 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
- 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
- Ill-posed problems with a priori information
- Schemes for finding minimum-norm solutions of variational inequalities
- An extragradient method for fixed point problems and variational inequality problems
- Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings
- A relaxed extragradient-like method for a generalized mixed equilibrium problem, a general system of generalized equilibria and a fixed point problem
- Relaxed hybrid steepest-descent methods with variable parameters for triple-hierarchical variational inequalities
- Iterative Algorithms for Nonlinear Operators
- Finite-Dimensional Variational Inequalities and Complementarity Problems
This page was built for publication: Hybrid implicit steepest-descent methods for triple hierarchical variational inequalities with hierarchical variational inequality constraints