Positive Definiteness of High‐Order Subdifferential and High‐Order Optimality Conditions in Vector Optimization Problems

He Qinghai and Zhang Binbin

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We obtain a new Taylor′s formula in terms of the k + 1 order subdifferential of a Ck,1 function from Rn to Rm. As its applications in optimization problems, we build k + 1 order sufficient optimality conditions of this kind of functions and k + 1 order necessary conditions for strongly C‐quasiconvex functions.

Date: 2013
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https://doi.org/10.1155/2013/678154

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:678154

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