LOWER SEMICONTINUITY OF THE SOLUTION MAPPING TO A PARAMETRIC GENERALIZED VECTOR EQUILIBRIUM PROBLEM

摘要

This paper deals with the lower semicontinuity of the solution mapping to a parametric generalized vector equilibrium problem. Under new assumptions, which do not contain any information about solution mappings, we establish the lower semicontinuity of the solution mapping to a parametric generalized vector equilibrium problem by using a scalarization method. These results improve the corresponding ones in recent literature. Some examples are given to illustrate our results.