Well-posedness and global error bound for generalized mixed quasi-variational-hemivariational inequalities via regularized gap functions

DOI10.1080/02331934.2023.2239839MaRDI QIDQ6655490

Vo Minh Tam, Lijie Li, Nguyen Van Hung, Stanislaw Migórski

Publication date: 23 December 2024

Published in: Optimization (Search for Journal in Brave)

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40)

Cites Work

• Existence theorems for elliptic and evolutionary variational and quasi-variational inequalities
• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
• A class of history-dependent variational-hemivariational inequalities
• Well-posedness for mixed quasi-variational-hemivariational inequalities
• Gap functions for quasi-equilibria
• Well-posedness for a class of variational-hemivariational inequalities with perturbations
• Levitin-Polyak well-posedness of generalized vector equilibrium problems
• On convergence of solutions to variational-hemivariational inequalities
• Levitin-Polyak well-posedness of variational inequalities
• Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
• Gap functions for equilibrium problems
• Error bounds for proximal point subproblems and associated inexact proximal point algorithms
• Levitin-Polyak well-posedness for strong bilevel vector equilibrium problems and applications to traffic network problems with equilibrium constraints
• A class of fractional differential hemivariational inequalities with application to contact problem
• Gap function and global error bounds for generalized mixed quasi variational inequalities
• Numerical analysis of stationary variational-hemivariational inequalities
• Regularized gap functions and error bounds for generalized mixed strong vector quasiequilibrium problems
• On convergence of numerical methods for variational-hemivariational inequalities under minimal solution regularity
• Generalized quasi-variational hemi-variational inequalities.
• Some methods based on the D-gap function for solving monotone variational inequalities
• A class of variational-hemivariational inequalities in reflexive Banach spaces
• Gap functions and error bounds for variational-hemivariational inequalities
• Levitin-Polyak well-posedness by perturbations for the split hemivariational inequality problem on Hadamard manifolds
• Generalized well-posedness for parametric fuzzy generalized multiobjective games
• Nonsmooth dynamical systems: from the existence of solutions to optimal and feedback control
• A new class of strong mixed vector GQVIP-generalized quasi-variational inequality problems in fuzzy environment with regularized gap functions based error bounds
• Well-posedness of history/state-dependent implicit sweeping processes
• Generalized Levitin-Polyak well-posedness for controlled systems of FMQHI-fuzzy mixed quasi-hemivariational inequalities of Minty type
• LP well-posed controlled systems for bounded quasi-equilibrium problems and their application to traffic networks
• Gap functions and error bounds for inverse quasi-variational inequality problems
• Some equivalence results for well-posedness of hemivariational inequalities
• Convergence of convex sets and of solutions of variational inequalities
• A novel approach to Hölder continuity of a class of parametric variational-hemivariational inequalities
• Levitin-Polyak Well-Posedness of Constrained Inverse Quasivariational Inequality
• Equivalent Unconstrained Minimization and Global Error Bounds for Variational Inequality Problems
• Theoretical Numerical Analysis
• Optimization and nonsmooth analysis
• D-gap Functions for a Class of Equilibrium Problems in Banach Spaces
• Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Well-posed hemivariational inequalities
• Well-Posedness, Optimal Control, and Sensitivity Analysis for a Class of Differential Variational-Hemivariational Inequalities
• Inverse problems for generalized quasi-variational inequalities with application to elliptic mixed boundary value systems
• Global error bounds for mixed Quasi-Hemivariational inequality problems on Hadamard manifolds
• A Class of Variational-Hemivariational Inequalities with Applications to Frictional Contact Problems
• Generalized Levitin--Polyak Well-Posedness in Constrained Optimization
• On the stability of the functional optimization problem
• Nonlinear Quasi-hemivariational Inequalities: Existence and Optimal Control
• Nonconvex Problems of Semipermeable Media and Related Topics
• Merit functions: a bridge between optimization and equilibria
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Well-posedness and global error bound for generalized mixed quasi-variational-hemivariational inequalities via regularized gap functions