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预不变凸规划问题解集的刻画

Journal of Guizhou University(Natural Sciences)(2011)

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Abstract
本文在不变凸集上定义了预不变凸函数的方向导数、η-近似次微分和η-Gateaux可微的概念,证明了预不变凸函数的η-近似次微分的一些性质,并在此基础上得到了预不变凸规划问题解集的等价刻画。
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Key words
convex programming,directional derivative,Preinvex functions,η-proximal subdifferential,η-Gateaux differentiable
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