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, issue 1

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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https://doi.org/10.1155/2011/432963

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:432963

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