Abstract

We survey the tight connection between differentiability of conjugate functions and perturbed optimization principles.

Author information

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

Jonathan Borwein

School of Mathematical and Physical Sciences, University of Newcastle, Callaghan NSW 2308, Australia

jborwein@cs.dal.ca

Jon Vanderwerff

Department of Mathematics, La Sierra University, Riverside, CA 92515, U.S.A.

jvanderw@lasierra.edu

Keywords

  • Convex function
  • conjugate
  • Frechet differentability

Mathematics Subject Classification

52A41; 46G05, 46N10, 49J50, 90C25

Suggested citation

J. Borwein, J. Vanderwerff. “Differentiability of Conjugate Functions and Perturbed Minimization Principles.” Journal of Convex Analysis 16 (2009), No. 3&4, 707–711.

Copyright Heldermann Verlag 2009