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A Comparison of Some Recent Regularity Conditions for Fenchel Duality

In: Fixed-Point Algorithms for Inverse Problems in Science and Engineering

Author

Listed:
  • Radu Ioan Boţ

    (Chemnitz University of Technology)

  • Ernö Robert Csetnek

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.

Suggested Citation

  • Radu Ioan Boţ & Ernö Robert Csetnek, 2011. "A Comparison of Some Recent Regularity Conditions for Fenchel Duality," Springer Optimization and Its Applications, in: Heinz H. Bauschke & Regina S. Burachik & Patrick L. Combettes & Veit Elser & D. Russell Luke & Henry (ed.), Fixed-Point Algorithms for Inverse Problems in Science and Engineering, chapter 0, pages 111-130, Springer.
    • Handle: RePEc:spr:spochp:978-1-4419-9569-8_7
    DOI: 10.1007/978-1-4419-9569-8_7
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