The stability of minimal solution sets for set optimization problems via improvement sets

Abstract

Abstract In this paper we investigate the stability of solution sets for set optimization problems via improvement sets. Some sufficient conditions for the upper semicontinuity, lower semicontinuity, and compactness of E-minimal solution mappings are given for parametric set optimization under some suitable conditions. We also give some examples to illustrate our main results.

Keywords

• Improvement set
• Set optimization
• Upper semicontinuity
• Lower semicontinuity