线性拓扑空间中向量极值问题ε-有效解的性质及标量化

On ε-Efficient Solutions for Vector Extremum problems in Linear Topological Spaces

本文对线性拓扑空间中的向量极值问题引入了e-弱有效解和e-有效解的概念,获得了这类解的若干性质;考虑了相应的标量化问题,给出了几个重要的标量化定理.

The concepts of ε-weak efficient solutions and ε-efficient solutions for vector extremum problems in linear topological spaces are introduced.Some properties of these solutions are proved.We also consider the corresponding scalarization problems and obtain several important scalarization theorems.