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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

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

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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