Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency

Qilin Wang and Guolin Yu

Abstract and Applied Analysis, 2011, vol. 2011, 1-16

Abstract:

Some new properties are obtained for generalized second-order contingent (adjacent) epiderivatives of set-valued maps. By employing the generalized second-order adjacent epiderivatives, necessary and sufficient conditions of Benson proper efficient solutions are given for set-valued optimization problems. The results obtained improve the corresponding results in the literature.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:432963

DOI: 10.1155/2011/432963

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