集值优化导数型最优性条件

Derivative Type Optimality Conditions of Set-Valued Optimization

借助于相依上导数的概念,建立了锥次类凸集值映射的导数型择一性定理,并利用择一性定理获得了集值优化导数型的最优性必要条件和充分条件.

We establish a derivative type theorem of the alternative for subconvexlike set-valued maps by the concept of tangent derivative; using this theorem, the derivative type necessary and sufficient optimality conditions of set-valued maps are given.