About Asymptotic Analysis and Set Optimization

• DOI: 10.1007/s11228-018-0468-5
• Publication Date: 2018-01-30T05:07:22Z
• Authors: Elvira Hernández; Rubén López
• Keywords: Asymptotic Analysis; Asymptotology

We introduce, in a natural way, a new notion of asymptotic map for a set-valued map. The non-uniqueness of such an asymptotic map leads to consider equivalent classes via a set relation. We provide fundamental analytic representations and computational formulae for the asymptotic map. Asymptotic tools for studying set optimization problems have been developed. As applications, new coercivity notions and existence results for set optimization problems with unbounded constraint sets are obtained.