On differentiability of strongly α(·)-paraconvex functions in non-separable Asplund spaces

S. Rolewicz

Studia Mathematica (2005)

  • Volume: 167, Issue: 3, page 235-244
  • ISSN: 0039-3223

Abstract

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In Rolewicz (2002) it was proved that every strongly α(·)-paraconvex function defined on an open convex set in a separable Asplund space is Fréchet differentiable on a residual set. In this paper it is shown that the assumption of separability is not essential.

How to cite

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S. Rolewicz. "On differentiability of strongly α(·)-paraconvex functions in non-separable Asplund spaces." Studia Mathematica 167.3 (2005): 235-244. <http://eudml.org/doc/284927>.

@article{S2005,
abstract = {In Rolewicz (2002) it was proved that every strongly α(·)-paraconvex function defined on an open convex set in a separable Asplund space is Fréchet differentiable on a residual set. In this paper it is shown that the assumption of separability is not essential.},
author = {S. Rolewicz},
journal = {Studia Mathematica},
keywords = {Fréchet differentiability; strongly paraconvex functions; Asplund spaces},
language = {eng},
number = {3},
pages = {235-244},
title = {On differentiability of strongly α(·)-paraconvex functions in non-separable Asplund spaces},
url = {http://eudml.org/doc/284927},
volume = {167},
year = {2005},
}

TY - JOUR
AU - S. Rolewicz
TI - On differentiability of strongly α(·)-paraconvex functions in non-separable Asplund spaces
JO - Studia Mathematica
PY - 2005
VL - 167
IS - 3
SP - 235
EP - 244
AB - In Rolewicz (2002) it was proved that every strongly α(·)-paraconvex function defined on an open convex set in a separable Asplund space is Fréchet differentiable on a residual set. In this paper it is shown that the assumption of separability is not essential.
LA - eng
KW - Fréchet differentiability; strongly paraconvex functions; Asplund spaces
UR - http://eudml.org/doc/284927
ER -

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