Some existence and convergence theorems for solving a system of hierarchical optimization problems
DOI10.1007/s10598-016-9317-2zbMath1336.49006OpenAlexW2282105593WikidataQ59306889 ScholiaQ59306889MaRDI QIDQ285114
Poom Kumam, Nopparat Wairojjana
Publication date: 18 May 2016
Published in: Computational Mathematics and Modeling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10598-016-9317-2
fixed pointhierarchical fixed pointhierarchical optimization problemshierarchical variational inclusion problemvariational inequality problems
Variational inequalities (49J40) Methods involving semicontinuity and convergence; relaxation (49J45) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving relations other than differential equations (49J21)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fixed point optimization algorithm and its application to power control in CDMA data networks
- Iterative algorithms for hierarchical fixed points problems and variational inequalities
- A new hybrid iterative algorithm for fixed-point problems, variational inequality problems, and mixed equilibrium problems
- PSE as applied to problems of secondary instability in supersonic boundary layers
- A hybrid projection algorithm for finding solutions of mixed equilibrium problem and variational inequality problem
- The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces
- Viscosity method for hierarchical fixed point approach to variational inequalities
- New approach to solving a system of variational inequalities and hierarchical problems
- Regularization of nonlinear ill-posed variational inequalities and convergence rates
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- On Maingé's approach for hierarchical optimization problems
- Factorization of Minty and Stampacchia variational inequality systems
- Some developments in general variational inequalities
- A new iterative method for finding common solutions of a system of equilibrium problems, fixed-point problems, and variational inequalities
- Strong convergence theorems for a generalized equilibrium problem with a relaxed monotone mapping and a countable family of nonexpansive mappings in a Hilbert space
- On the hierarchical variational inclusion problems in Hilbert spaces
- Towards viscosity approximations of hierarchical fixed-point problems
- KRASNOSELSKI–MANN ITERATION FOR HIERARCHICAL FIXED POINTS AND EQUILIBRIUM PROBLEM
- Modification of the extra-gradient method for solving variational inequalities and certain optimization problems
- A New Projection Method for Variational Inequality Problems
- A variant of korpelevich’s method for variational inequalities with a new search strategy
- Robust Wideband Beamforming by the Hybrid Steepest Descent Method
- ON AN IMPLICIT HIERARCHICAL FIXED POINT APPROACH TO VARIATIONAL INEQUALITIES
- A block-iterative surrogate constraint splitting method for quadratic signal recovery
- On Perturbation Bounds for the Joint Stationary Distribution of Multivariate Markov Chain Models
- Weak and strong convergence of Krasnoselski–Mann iteration for hierarchical fixed point problems
- Variational inequalities
- Krasnoselski–Mann iteration for hierarchical fixed-point problems
- Projection methods, algorithms, and a new system of nonlinear variational inequalities
This page was built for publication: Some existence and convergence theorems for solving a system of hierarchical optimization problems
