Quasiconvex duality theory by generalized conjugation methods

Abstract

Abstract We survey duality theories for quasiconvex optimization problems, based on notions of generalized conjugation. Some of them are obtained from Moreau's generalized conjugation, while the others are special cases of the so-called H-duality. The relationship existing between the two kinds of approaches is described. AMS 1980 Subject Classifications: Primary: 90 C 30Secondary: 26 B 25Keywords: Quasiconvex functionalsgeneralized conjugationdualityfunctional hullsgeneralized subdifferentialscoupling functionalsperturbationlower subdifferentiable functions