آناليز مجانبي و بهينه سازي مجموعه اي

Asymptotic Analysis an‎d Set Optimization

رياضي محض

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 represen- tations 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.

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