Augmented Lagrangian methods for optimal control problems governed by mixed quasi-equilibrium problems with applications

被引：1
|
作者：
Chadli, Ouayl [1 ]
Ansari, Qamrul Hasan [2 ,3 ]
Al-Homidan, Suliman [3 ]
机构：
[1] Ibn Zohr Univ, Fac Econ & Social Sci, Dept Econ, Agadir, Morocco
[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[3] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia
来源：
OPTIMAL CONTROL APPLICATIONS & METHODS | 2021年 / 42卷 / 04期
关键词：
augmented Lagrangian methods; mixed quasi‐ equilibrium problems; Mosco convergence; optimal control problems; quasi‐ hemivariational inequalities; variational inequalities; VARIATIONAL-INEQUALITIES; MAXIMAL MONOTONICITY; EXISTENCE; REGULARIZATION; OBSTACLE;
D O I：
10.1002/oca.2722
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：1178 / 1205
页数：28
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