Optimality conditions are studied for set-valued maps with set optimization. Necessary conditions are given in terms of -derivative and contingent derivative. Sufficient conditions for the existence of solutions are shown for set-valued maps under generalized quasiconvexity assumptions.
Abdessamad Oussarhan. Ikram Daidai. "Necessary and Sufficient Conditions for Set-Valued Maps with Set Optimization." Abstr. Appl. Anal. 2018 1 - 6, 2018. https://doi.org/10.1155/2018/5962049