Abstract

In this note we give a self-contained account of the relationship between the sequential and topological constructions of bornological limit derivatives for locally Lipschitzian real-valued functions on Banach spaces.

Author information

Contact details are reproduced from the original publication and may be historical.

Jonathan Borwein

Department of Mathematics and Statistics, Simon Fraser University, Burnaby BC, Canada V5A 1S6.

Simon Fitzpatrick

Department of Mathematics, The University of Western Australia, Nedlands WA 6009, Australia.

Keywords

  • Asplund space
  • bornological limit derivative
  • Clarke subgradient
  • Fréchet derivative
  • Gateaux derivative
  • subderivative
  • weak Hadamard derivative
  • weakly compactly generated
  • weak* sequential compactness

Suggested citation

J. Borwein, S. Fitzpatrick. “Weak* Sequential Compactness and Bornological Limit Derivatives.” Journal of Convex Analysis 2 (1995), No. 1&2, 59–67. https://doi.org/10.68381/jca02004

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Published by Heldermann Verlag, 1995. Rights now held by Banach Press.