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Pré-Publication, Document De Travail Année : 2007

In Asplund spaces, approximately convex functions and regular functions are generically differentiable

Résumé

We prove that an approximately convex function on an open subset of an Asplund space is generically Fréchet differentiable, as are genuine convex functions. Thus, we give a positive answer to a question raised by S. Rolewicz. We also prove a more general result of that type for regular functions on an open subset of an Asplund space.
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Dates et versions

hal-00175212 , version 1 (27-09-2007)

Identifiants

  • HAL Id : hal-00175212 , version 1

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Ngai Huynh Van, Jean-Paul Penot. In Asplund spaces, approximately convex functions and regular functions are generically differentiable. 2007. ⟨hal-00175212⟩
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