Optimal control of systems governed by mixed equilibrium problems under monotonicity-type conditions with applications
DOI10.1007/s00245-018-9548-zzbMath1461.49008OpenAlexW2904881517MaRDI QIDQ2019995
Publication date: 22 April 2021
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-018-9548-z
maximal monotone operatorsvariational inequalitiesMosco convergenceequilibrium problemsoptimal control problemsquasimonotone operatorspseudomontone operators
Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Existence theories for optimal control problems involving relations other than differential equations (49J21)
Related Items (1)
Cites Work
- Mixed equilibrium problems and anti-periodic solutions for nonlinear evolution equations
- Existence results for vector equilibrium problems given by a sum of two functions
- Hybrid proximal methods for equilibrium problems
- Regularized equilibrium problems with application to noncoercive hemivariational inequalities.
- Functional analysis, Sobolev spaces and partial differential equations
- On the optimal control for variational inequalities
- Equilibrium problems with applications to eigenvalue problems
- Equilibrium problems and variational models. Based on the meeting, Erice, Italy, June 23--July 2, 2000
- Combined relaxation methods for variational inequalities
- A remark on the Leray-Lions condition.
- The existence of nonlinear inequalities
- Some convergence results for evolution hemivariational inequalities
- Relaxation in nonconvex optimal control problems described by fractional differential equations
- Existence results and optimal control for a class of quasi mixed equilibrium problems involving the \((f,g,h)\)-quasimonotonicity
- The existence results for optimal control problems governed by a variational inequality
- Remarks on the direct method of the calculus of variations
- Averaged norms
- Fréchet differentiability of convex functions
- Équations et inéquations non linéaires dans les espaces vectoriels en dualité
- On the Fitzpatrick transform of a monotone bifunction
- A new solution method for equilibrium problems
- Existence of Solutions for Nonlinear Implicit Differential Equations: An Equilibrium Problem Approach
- DISCRETE REGULARIZATION OF OPTIMAL CONTROL PROBLEMS ON ILL-POSED MONOTONE VARIATIONAL INEQUALITIES
- Maximal monotonicity of bifunctions
- Optimal Control of Strongly Monotone Variational Inequalities
- A note on pseudomonotone functions, regularization, and relaxed coerciveness
- Optimal Control of Problems Governed by Abstract Elliptic Variational Inequalities with State Constraints
- Browder–Tikhonov regularization of non-coercive evolution hemivariational inequalities
- Equilibrium problems with complementarity constraints: case study with applications to oligopolistic markets
- Generalized Monotone Equilibrium Problems and Variational Inequalities
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Optimal control of systems governed by mixed equilibrium problems under monotonicity-type conditions with applications