Acta Mathematica Vietnamica

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Generalization of C 1,1 Property in Infinite Dimension
Marie Dvorská, Karel Pastor

 

Abstract

The class of functions with locally Lipschitz gradient, i.e., the class of C1,1 functions, has been deeply studied and many optimization conditions has been stated for this class. A generalization of C1,1 property leads to the class of –stable functions. In this paper, we study two formally different definitions of –stability in infinite dimension and show their equivalence.

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