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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 [ Fulltext-pdf (94 KB)] for subscribers only. |