Optimal Control Problems for Set-Valued Quasivariational Inequalities with Applications

Shih-Sen Chang, Salahuddin, Lin Wang, Jinfang Tang and Liangcai Zhao
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Shih-Sen Chang: Center for General Education, China Medical University, Taichung 40402, Taiwan
Salahuddin: Department of Mathematics, Jazan University, Jazan 45142, Saudi Arabia
Lin Wang: College of Statistics and Mathematics, Yunnan University of Fiance and Ecoomics, Kunming 650221, China
Jinfang Tang: Department of mathematics, Yibin University, Yibin 644007, China
Liangcai Zhao: Department of mathematics, Yibin University, Yibin 644007, China

Mathematics, 2022, vol. 10, issue 5, 1-19

Abstract: In this paper we investigate the optimal control problem for set-valued quasivariational inequality with unilateral constraints. Under suitable conditions, we prove that the solution to the current optimal control problem converges to a solution to old control problems. By way of application, we utilize our results presented in the paper to study the optimal control associated with boundary value problems which is described by frictional contact problems and a stationary heat transfer problem with unilateral constraints.

Keywords: convergence results; inverse strong monotonicity; frictional contact; heat transfer; optimal control; optimal pair; set-valued quasivariational inequality problem; unilateral constraint (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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