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- W2807126483 abstract "In this paper we investigate second-order Karush-Kuhn-Tucker multipliers for both local nondominated and local minimal points of set-valued optimization with variable ordering structures. We prove calculus rules of second-order contingent derivatives of index $gamma in {0,1}$ and use them to establish improved Karush-Kuhn-Tucker multiplier rules of nonclassical forms which involve separately such derivatives of the objective, constraint and ordering maps. The equivalence between the nonemptiness and boundedness of the multiplier sets in these rules and second-order constraint qualifications of the Kurcyusz-Robinson-Zowe and Mangasarian-Fromovitz types is demonstrated." @default.
- W2807126483 created "2018-06-13" @default.
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- W2807126483 date "2018-06-01" @default.
- W2807126483 modified "2023-10-16" @default.
- W2807126483 title "Existence and Boundedness of Second-order Karush-Kuhn-Tucker Multipliers for Set-valued Optimization with Variable Ordering Structures" @default.
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- W2807126483 doi "https://doi.org/10.11650/tjm/180505" @default.
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