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首页> 外文期刊>Optimal Control Applications and Methods >Augmented Lagrangian methods for optimal control problems governed by mixed quasi-equilibrium problems with applications
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Augmented Lagrangian methods for optimal control problems governed by mixed quasi-equilibrium problems with applications

机译：增强拉格朗日方法，以实现应用混合准平衡问题的最佳控制问题

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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.
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