Abstract

We show, largely using convex examples, that most of the core results for limiting subdifferential calculus fail without additional restrictions in infinite dimensional Banach spaces.

Author information

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

Jonathan M. Borwein

CECM, Department of Mathematics and Statistics, Simon Fraser University, Burnaby, B. C. V5A 156, Canada.

Qiji J. Zhu

Department of Mathematics and Statistics, Western Michigan University, Kalamazoo, MI 49008, USA

Keywords

  • Nonsmooth analysis
  • subdifferentials
  • coderivatives
  • extremal principle
  • open mapping theorem
  • metric regularity
  • multiplier rules
  • compactly Lipschitzian conditions

Suggested citation

J. M. Borwein, Q. J. Zhu. “Limiting Convex Examples for Nonconvex Subdifferential Calculus.” Journal of Convex Analysis 5 (1998), No. 2, 221–235. https://doi.org/10.68381/jca05-16

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Published by Heldermann Verlag, 1998. Rights now held by Banach Press.