线性空间中集值优化问题弱有效解与向量鞍点

Weak Efficient Solutions and Vector Saddle Points of Set-valued Optimization Problems in Linear Spaces

在序线性空间中定义了带广义不等式约束集值优化问题的广义向量Fritz-John鞍点和广义向量Kuhn-Tucker鞍点,建立了二者之间关系.最后,借助广义锥次似凸映射的择一定理,讨论了集值优化问题的弱有效解与它们之间的关系.

In ordered linear spaces, generalized vector Fritz-John saddle point and generalized vector Kuhn-Tucker saddle point of set-valued optimization problems with generalized inequality constraints were defined, and the relations between them were established. And then, applying the alternative theorems under the generalized cone-subconvexlikeness, the relations among the weak efficient solutions of set-valued optimization problems and them were dicussed.