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Separation of sets and Wolfe duality

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An Erratum to this article was published on 08 February 2009

Abstract

Lagrangian duality can be derived from separation in the Image Space, namely the space where the images of the objective and constraining functions of the given extremum problem run. By exploiting such a result, we analyse the relationships between Wolfe and Mond-Weir duality and prove their equivalence in the Image Space under suitable generalized convexity assumptions.

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Authors and Affiliations

  1. Department of Mathematics, University of Pisa, L.go B. Pontecorvo, 5, 56127, Pisa, Italy

    F. Giannessi & G. Mastroeni

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  1. F. Giannessi
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  2. G. Mastroeni
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Correspondence to G. Mastroeni.

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An erratum to this article is available at http://dx.doi.org/10.1007/s10898-009-9406-2.

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Giannessi, F., Mastroeni, G. Separation of sets and Wolfe duality. J Glob Optim 42, 401–412 (2008). https://doi.org/10.1007/s10898-008-9301-2

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  • DOI: https://doi.org/10.1007/s10898-008-9301-2

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