向量极值问题的ε-近似解和向量变分不等式

ε-Approximate Solutions and the Vector Variational Inequalities

本文对线性拓扑空间中一般向量极值问题的ε-有效解的几何性质进行了研究,得到了几个定理;在引入向量值映射的ε-次梯度概念的基础上,建立了向量极值问题的ε-近似解问题与广义向量变分不等式问题的关系定理.

In linear topological spaces,we study the geometric properties of ε-efficient solutions for general vector optimization problems.By introducing the concept of ε-subgradient for vector-valued mappings,some relationships between the ε-approximate solutions of vector optimization problems and the generalized vector variational inequalities are established.