A Kind of New Higher-Order Mond-Weir Type Duality for Set-Valued Optimization Problems
Keyword(s):
In this paper, we introduce the notion of higher-order weak adjacent epiderivative for a set-valued map without lower-order approximating directions and obtain existence theorem and some properties of the epiderivative. Then by virtue of the epiderivative and Benson proper efficiency, we establish the higher-order Mond-Weir type dual problem for a set-valued optimization problem and obtain the corresponding weak duality, strong duality and converse duality theorems, respectively.
2015 ◽
Vol 2015
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2011 ◽
Vol 2011
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Keyword(s):
2018 ◽
Vol 6
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pp. 33
2018 ◽
Vol 13
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1989 ◽
Vol 47
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pp. 418-423
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2015 ◽
Vol 5
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pp. 13-20