Differentiability Properties of Optimal Value Functions

[摘要] Differentiability properties of optimal value functions associated withperturbed optimization problems require strong assumptions. We consider sucha set of assumptions which does not use compactness hypothesis but whichinvolves a kind of coherence property. Moreover, a strict differentiabilityproperty is obtained by using techniques of Ekeland and Lebourg and a resultof Preiss. Such a strengthening is required in order to obtain genericityresults.

[学科分类] 数学（综合）