Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843767 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 8 Pages |
Abstract
The class of the ℓℓ-stable functions is introduced in previous papers of the authors as a generalization of the class of C1,1C1,1 functions. The importance of this class is that minimization problems with ℓℓ-stable data admit second-order optimality conditions in terms of suitable directional derivatives similar to those for ones with C1,1C1,1 data. The present paper studies differentiability properties of ℓℓ-stable functions in normed spaces and generalizes to infinite-dimensional spaces some results of the authors.
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Authors
Dušan Bednařík, Karel Pastor,