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Remarks on infinite dimensional duality

Journal of Global Optimization volume 46, pages 581–588 (2010)Cite this article

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Abstract

We present an improvement of a recent duality theorem and a new result which stresses the fact that the strong duality, without assumptions on the interior of the ordering cone, is related to the normal cone.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università di Catania, V.le A.Doria, 6, 95125, Catania, Italy

    A. Maugeri & F. Raciti

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  1. A. Maugeri
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  2. F. Raciti
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Correspondence to A. Maugeri.

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Maugeri, A., Raciti, F. Remarks on infinite dimensional duality. J Glob Optim 46, 581–588 (2010). https://doi.org/10.1007/s10898-009-9442-y

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  • DOI: https://doi.org/10.1007/s10898-009-9442-y

Keywords

  • Strong duality
  • Quasi-relative interior
  • Tangent cone
  • Normal cone