On the lower semicontinuity of the set of efficient solutions to parametric generalized systems

Abstract

In this paper, we investigate weak vector solutions and global vector solutions to a parametric generalized system (PGS). By using a weaker assumption, we discuss the lower semicontinuity of solution maps for PGS under the case that the \(f\)-efficient solution mapping may not be single-valued. These results extend the recent ones in the literature. Some examples are given to illustrate our results.