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À propos de : New second-order radial epiderivatives and applications to optimality conditions        

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  • New second-order radial epiderivatives and applications to optimality conditions
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  • In this paper, we introduce the second-order weakly composed radial epiderivative of set-valued maps, discuss its relationship to the second-order weakly composed contingent epiderivative, and obtain some of its properties. Then we establish the necessary optimality conditions and sufficient optimality conditions of Benson proper efficient solutions of constrained set-valued optimization problems by means of the second-order epiderivative. Some of our results improve and imply the corresponding ones in recent literature.
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  • ro180231
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  • © EDP Sciences, ROADEF, SMAI 2020
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  • EDP Sciences, ROADEF, SMAI
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