Algorithms for a class of bilevel programs involving pseudomonotone variational inequalities
From MaRDI portal
Publication:489985
DOI10.1007/s40306-013-0032-1zbMath1306.49053OpenAlexW1979277516MaRDI QIDQ489985
Publication date: 21 January 2015
Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40306-013-0032-1
Nonconvex programming, global optimization (90C26) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Numerical methods based on nonlinear programming (49M37) Numerical methods for variational inequalities and related problems (65K15)
Related Items
Existence of solution and algorithms for a class of bilevel variational inequalities with hierarchical nesting structure ⋮ An iterative method for solving the multiple-sets split variational inequality problem ⋮ A modified Solodov-Svaiter method for solving nonmonotone variational inequality problems ⋮ On bilevel split pseudomonotone variational inequality problems with applications ⋮ A strongly convergent subgradient extragradient-Halpern method for solving a class of bilevel pseudomonotone variational inequalities ⋮ A projection and contraction method with adaptive step sizes for solving bilevel pseudo-monotone variational inequality problems ⋮ An accelerated subgradient extragradient algorithm for solving bilevel variational inequality problems involving non-Lipschitz operator ⋮ A new self-adaptive iterative method for variational inclusion problems on Hadamard manifolds with applications ⋮ A new inertial relaxed Tseng extrgradient method for solving quasi-monotone bilevel variational inequality problems in Hilbert spaces ⋮ Linesearch methods for bilevel split pseudomonotone variational inequality problems ⋮ A strong convergence of modified subgradient extragradient method for solving bilevel pseudomonotone variational inequality problems ⋮ Relaxed single projection methods for solving bilevel variational inequality problems in Hilbert spaces
Cites Work
- Unnamed Item
- On penalty and gap function methods for bilevel equilibrium problems
- An extragradient algorithm for solving bilevel pseudomonotone variational inequalities
- Auxiliary principle and algorithm for mixed equilibrium problems and bilevel mixed equilibrium problems in Banach spaces
- Minimization of equilibrium problems, variational inequality problems and fixed point problems
- Explicit hierarchical fixed point approach to variational inequalities
- The Tikhonov regularization extended to equilibrium problems involving pseudomonotone bifunctions
- Iterative methods for triple hierarchical variational inequalities in Hilbert spaces
- Solution methods for pseudomonotone variational inequalities
- Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
- Proximal methods for a class of bilevel monotone equilibrium problems
- Projected subgradient techniques and viscosity methods for optimization with variational inequality constraints
- Auxiliary problem principle extended to variational inequalities
- An iterative row-action method for interval convex programming
- Extragradient methods for pseudomonotone variational inequalities
- Gap functions for equilibrium problems
- Combined relaxation methods for variational inequalities
- Solving two-level variational inequality
- Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints
- Tikhonov regularization algorithm for pseudomonotone variational inequalities
- Convergence of an adaptive penalty scheme for finding constrained equilibria
- A New Projection Method for Variational Inequality Problems
- A variant of korpelevich’s method for variational inequalities with a new search strategy
- Hybrid Steepest Descent Method for Variational Inequality Problem over the Fixed Point Set of Certain Quasi-nonexpansive Mappings
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Extragradient algorithms extended to equilibrium problems¶
- Convex analysis and monotone operator theory in Hilbert spaces
This page was built for publication: Algorithms for a class of bilevel programs involving pseudomonotone variational inequalities
