MMN-3127

Lagrangian methods for optimal control problems governed by quasi-hemivariational inequalities

Fengzhen Long; Biao Zeng;

Abstract

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.


Vol. 21 (2020), No. 2, pp. 969-982
DOI: https://doi.org/10.18514/MMN.2020.3127


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