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Journal of Convex Analysis 16 (2009), No. 3, 707--711
Copyright Heldermann Verlag 2009



Differentiability of Conjugate Functions and Perturbed Minimization Principles

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



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

Keywords: Convex function, conjugate, Frechet differentability.

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

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