Benson真有效解意义下集值优化问题的最优性条件

The Generalized Optimality Conditions of Set-Valued Optimization Problems with Benson Proper Efficiency

引进了集值映射关于锥的(1,α)-阶Clarke切导数,(1,α)-阶Adjacent切导数,(1,α)-阶Contingent切导数概念;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 with respect to cone are introduced; Applying this, the generalized Kuhn-Tucker optimality conditions for set-valued optimization problems with Benson proper efficiency are established.