摘要
引进了关于集值映射的(1,α)-阶Clarke导数,(1,α)-阶邻接导数,(1,α)-阶伴随导数概念;应用它们导出了具Slater约束规格的集值优化问题的Benson真有效解的广义导数型Kuhn-Tucker最优性条件.
The concepts of (1, α )-order Clarke tangent derivative,(1, α )-order adjacent tangent derivative and (1, α )-order contingent tangent derivative for a set-valued map are introduced.Applying these,the derivative type Kuhn-Tucker optimality conditions for vector set-valued optimization problems with Benson proper efficiency solutions are established.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2004年第2期233-240,共8页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
贵州省科技厅基金(2003301)
贵州大学基金(2001006)
