Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON THE INTERMEDIATE DIFFERENTIABILITY OF LIPSCHITZ MAPS BETWEEN BANACH SPACES

  • Lee, Choon-Ho (Department of Mathematics and Institute of Basic Sciences, Hoseo University)
  • Published : 2009.01.31
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Abstract

In this paper we introduce the intermediate differential of a Lipschitz map from a Banach space to another Banach space and prove that every locally Lipschitz function f defined on an open subset ${\Omega}$ of a superreflexive real Banach space X to a finite dimensional Banach space Y is uniformly intermediate differentiable at every point ${\Omega}/A$, where A is a ${\sigma}$-lower porous set.

Keywords

References

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