An algorithm for a class of bilevel variational inequalities with split variational inequality and fixed point problem constraints

DOI10.1007/s40306-020-00389-9zbMath1471.49021OpenAlexW3088659716MaRDI QIDQ2048957

Nguyen Minh Hai, Le Huynh My Van, Tran Viet Anh

Publication date: 24 August 2021

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

Full work available at URL: https://doi.org/10.1007/s40306-020-00389-9

zbMATH Keywords

strong convergenceminimum-norm solutionsplit feasibility problempseudomonotone mappingsubgradient extragradient methoddemicontractive mappingsplit variational inequality and fixed point problem

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Variational inequalities (49J40) Numerical methods based on nonlinear programming (49M37) Numerical methods for variational inequalities and related problems (65K15)

Related Items

An iterative method for solving the multiple-sets split variational inequality problem, A Self-Adaptive Step Size Algorithm for Solving Variational Inequalities with the Split Feasibility Problem with Multiple Output Sets Constraints, Inertial extrapolation method with regularization for solving a new class of bilevel problem in real Hilbert spaces, A self adaptive method for solving a class of bilevel variational inequalities with split variational inequality and composed fixed point problem constraints in Hilbert spaces, Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Iterative methods for fixed point problems in Hilbert spaces
• Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces
• Approximation of zeros of inverse strongly monotone operators in Banach spaces
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• A multiprojection algorithm using Bregman projections in a product space
• Combined relaxation methods for variational inequalities
• On existence and solution methods for strongly pseudomonotone equilibrium problems
• Acceleration method for convex optimization over the fixed point set of a nonexpansive mapping
• 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