向量优化中基于拟内部的弱C(ε)-有效解的标量化

Scalarization of weakly C(ε)-efficient solutions via quasi interior in vector optimization

首先获得了co-radiant集的一些拟内部性质.进而在邻近C(ε)-次似凸性假设条件下,建立了相应的择一性定理,并给出了基于拟内部的集值向量优化问题弱C(ε)-有效解的线性标量化结果.

In this paper, some characterizations of co-radiant sets via quasi interior are obtained. Furthermore, under the nearly C（ε）-subconvexlikeness, an alternative theorem is established and a linear scalarization result of weakly C（ε）-efficient solutions via quasi interior is given for a class of vector optimization problems with set-valued maps.