Coupled variational inequalities: existence, stability and optimal control
DOI10.1007/s10957-021-01995-9OpenAlexW4210268570MaRDI QIDQ2139286
Jinjie Liu, Yong Zhao, Sheng-Da Zeng, Yang, Xinmin
Publication date: 17 May 2022
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-021-01995-9
optimal controlexistenceuniquenessfeedback control problemcoupled variational inequalitymixed boundary value system
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Set-valued and variational analysis (49J53) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Nonlinear functional analysis (46Txx)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differential variational inequality approach to dynamic games with shared constraints
- Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
- A class of differential vector variational inequalities in finite dimensional spaces
- Existence results for a class of hemivariational inequalities involving the stable \((g, f, \alpha)\)-quasimonotonicity
- Mathematical programs with vector optimization constraints
- Handbook of applied analysis
- Functional analysis, Sobolev spaces and partial differential equations
- Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
- Solution of variational inequalities in mechanics
- Vector variational inequalities and vector equilibria. Mathematical theories
- Partial differential hemivariational inequalities
- A class of fractional differential hemivariational inequalities with application to contact problem
- Nonlinear evolutionary systems driven by mixed variational inequalities and its applications
- Well-posedness for a class of frictional contact models via mixed variational formulations
- Positive solutions for nonlinear singular elliptic equations of \(p\)-Laplacian type with dependence on the gradient
- A class of differential hemivariational inequalities in Banach spaces
- Analysis and control of nonlinear infinite dimensional systems
- Partial differential variational inequalities involving nonlocal boundary conditions in Banach spaces
- A class of history-dependent systems of evolution inclusions with applications
- Convexification method for bilevel programs with a nonconvex Follower's problem
- Existence theorems of the variational-hemivariational inequalities
- Differential variational inequalities
- Équations et inéquations non linéaires dans les espaces vectoriels en dualité
- Convergence of convex sets and of solutions of variational inequalities
- Convergence of Regularized Time-Stepping Methods for Differential Variational Inequalities
- Mathematical Models in Contact Mechanics
- Stability Analysis of Two-Stage Stochastic Mathematical Programs with Complementarity Constraints via NLP Regularization
- A relaxed projection method for variational inequalities
- Inverse problems for nonlinear quasi-variational inequalities with an application to implicit obstacle problems ofp -Laplacian type
- Well-Posedness of History-Dependent Sweeping Processes
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Generalized Penalty and Regularization Method for Differential Variational-Hemivariational Inequalities
- Well-Posedness, Optimal Control, and Sensitivity Analysis for a Class of Differential Variational-Hemivariational Inequalities
- Inverse problems for nonlinear quasi-hemivariational inequalities with application to mixed boundary value problems
- Nonlinear evolutionary systems driven by quasi‐hemivariational inequalities
- Variational inequalities