New second-order radial epiderivatives and applications to optimality conditions
Keyword(s):
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.
1990 ◽
Vol 22
(1)
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pp. 189-209
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2020 ◽
2002 ◽
Vol 13
(2)
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pp. 406-431
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