A Comparison of Some Recent Regularity Conditions for Fenchel Duality

Radu Ioan Boţ () and Ernö Robert Csetnek ()
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Radu Ioan Boţ: Chemnitz University of Technology

Chapter Chapter 7 in Fixed-Point Algorithms for Inverse Problems in Science and Engineering, 2011, pp 111-130 from Springer

Abstract: Abstract This article provides an overview on regularity conditions for Fenchel duality in convex optimization. Our attention is focused, on the one hand, on three generalized interior-point regularity conditions expressed by means of the quasi interior and of the quasi-relative interior and, on the other hand, on two closedness-type conditions that have been recently introduced in the literature. We discuss how they do relate to each other, but also to several other classical ones and illustrate these investigations by numerous examples.

Keywords: Convex optimization; Fenchel duality; Quasi interior; Quasi-relative interior; Generalized Interior-point Regularity conditions; Closedness-type regularity conditions (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4419-9569-8_7

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DOI: 10.1007/978-1-4419-9569-8_7

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