On bilevel split pseudomonotone variational inequality problems with applications

DOI10.1007/s40306-016-0178-8zbMath1370.47066OpenAlexW2470135167MaRDI QIDQ2405025

Pham Ky Anh, Tran Viet Anh, Le Dung Muu

Publication date: 21 September 2017

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-016-0178-8

zbMATH Keywords

discrete optimal control problempseudomonotone mappingsplit variational inequalitysubgradient extragradient-Halpern method

Mathematics Subject Classification ID

Convex programming (90C25) Iterative procedures involving nonlinear operators (47J25) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (10)

An iterative method for solving the multiple-sets split variational inequality problem ⋮ Modified Tseng's extragradient methods with self-adaptive step size for solving bilevel split variational inequality problems ⋮ A Self-Adaptive Step Size Algorithm for Solving Variational Inequalities with the Split Feasibility Problem with Multiple Output Sets Constraints ⋮ A hybrid projection method for solving the multiple-sets split feasibility problem ⋮ Inertial extrapolation method with regularization for solving a new class of bilevel problem in real Hilbert spaces ⋮ A new iterative method for solving the multiple-set split variational inequality problem in Hilbert spaces ⋮ Linesearch methods for bilevel split pseudomonotone variational inequality problems ⋮ An inertial projection and contraction method for solving bilevel quasimonotone variational inequality problems ⋮ Resolvent-Mann-type algorithm for bilevel problems with split feasibility problem constraint ⋮ A parallel algorithm for generalized multiple-set split feasibility with application to optimal control problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Relaxed extragradient methods for finding minimum-norm solutions of the split feasibility problem
• Algorithms for a class of bilevel programs involving pseudomonotone variational inequalities
• The subgradient extragradient method for solving variational inequalities in Hilbert space
• Algorithms for the split variational inequality problem
• Implicit and explicit algorithms for solving the split feasibility problem
• A logarithmic quadratic regularization method for pseudomonotone equilibrium problems
• A remark on vector-valued equilibria and generalized monotonicity
• Combined relaxation methods for variational inequalities
• Generalized projection method for non-Lipschitz multivalued monotone variational inequalities
• Convexly constrained linear inverse problems: iterative least-squares and regularization
• Iterative Algorithms for Nonlinear Operators
• The multiple-sets split feasibility problem and its applications for inverse problems
• A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
• Iterative oblique projection onto convex sets and the split feasibility problem
• Finite-Dimensional Variational Inequalities and Complementarity Problems

This page was built for publication: On bilevel split pseudomonotone variational inequality problems with applications