广义锥-s次类凸向量优化的标量化和鞍点定理

The Theorems of Scalarization and Saddle Point of Generalized Cone s-subconvexlike Vector Optimization Problem

讨论序拓扑向量空间中的约束向量优化问题.在广义锥-s次类凸假设下,得到了向量优化问题关于δ-弱有效解的标量化定理和Lagrange泛函的鞍点定理.

This paper deals with the constrained vector optimization problem in order topological vector spaces.Under the assumption of generalized cone s-subconvexlikerness,the scalarization theorem and the saddle point theorem of Lagrange functions for δ-weakly effective solution in vector optimization are proposed.