## El Mahjoub Echchaabaoui, Mohamed Laghdir, Strong subdifferential calculus for convex set-valued mappings and applications to set optimization

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DOI: 10.23952/asvao.4.2022.2.06
Volume 4, Issue 2, 1 August 2022, Pages 223-237

Abstract. The aim of this paper is to establish the strong vector subdifferential of the convex set-valued mapping $F + G\circ H$, where $F,$ $G$, and $H$ are convex set-valued mappings, and $G$ is nondecreasing. An application is given to deal with optimality conditions for a constrained convex set-valued optimization problem.