LAGRANGIAN METHODS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY QUASI-HEMIVARIATIONAL INEQUALITIES

被引：0

作者：

Long, Fengzhen ^{[1
]}

Zeng, Biao ^{[2
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Peoples R China

[2] Guangxi Univ Nationalities, Fac Math & Phys, Nanning 530006, Peoples R China

来源：

MISKOLC MATHEMATICAL NOTES | 2020年 / 21卷 / 02期

关键词：

quasi-hemivariational inequality; lagrangian method; optimal control; zero duality gap; CONVEX-SETS; CONVERGENCE;

D O I：

10.18514/MMN.2020.3127

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to study an optimal control problem governed by a quasi-hemivariational inequality by using nonlinear Lagrangian methods. We first show the existence of solutions to the inequality problem, and then, we establish several sufficient conditions for the zero duality gap property between the optimal control problem and its nonlinear dual problem.

引用

页码：969 / 982

页数：14

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