Abstract
The main goal of this article is to study a general augmented Lagrangian method for optimal control problems governed by mixed (quasi-)equilibrium problems. We establish zero duality gap properties between a primal problem and its augmented Lagrangian dual problem. As a consequence, we give some existence results for optimal control problem governed by evolutionary quasi-variational inequalities. An application to optimal control of obstacle problems described by quasi-hemivariational inequalities is studied. The results obtained in this article are new and improves considerably many recent results in literature.
| Original language | English |
|---|---|
| Pages (from-to) | 1178-1205 |
| Number of pages | 28 |
| Journal | Optimal Control Applications and Methods |
| Volume | 42 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1 Jul 2021 |
Bibliographical note
Publisher Copyright:© 2021 John Wiley & Sons Ltd.
Keywords
- Mosco convergence
- augmented Lagrangian methods
- mixed quasi-equilibrium problems
- optimal control problems
- quasi-hemivariational inequalities
- quasi-variational inequalities
ASJC Scopus subject areas
- Control and Systems Engineering
- Software
- Control and Optimization
- Applied Mathematics