Unilateral Analysis and Duality

Jean-Paul Penot

Chapter Chapter 1 in Essays and Surveys in Global Optimization, 2005, pp 1-37 from Springer

Abstract: Abstract We introduce one-sided versions of Lagrangians and perturbations. We relate them, using concepts from generalized convexity. In such a way, we are able to present the main features of duality theory in a general framework encompassing numerous special instances. We focus our attention on the set of multipliers. We look for an interpretation of multipliers as generalized derivatives of the performance function associated with a dualizing parameterization of the given problem.

Keywords: Optimization Theory; Dual Problem; Convex Analysis; SIAM Journal; Coupling Function (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-387-25570-5_1

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DOI: 10.1007/0-387-25570-2_1

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