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Proper efficiency in vector infinite programming problems

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Abstract

Using the notion of invexity, we give sufficient conditions of optimality for properly efficient solutions of a vector infinite programming problem and show that the set of properly efficient solutions coincides with the set of optimal solutions of a related scalar problem.

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Authors and Affiliations

  1. Integrated Sciences College of Pontal, Federal University of Uberlândia, Ituiutaba, Minas Gerais, Brazil

    Valeriano Antunes de Oliveira

  2. Basic Sciences Department, Sciences College, University of Bío-Bío, Chillán, Chile

    Marko Antonio Rojas-Medar

Authors
  1. Valeriano Antunes de Oliveira
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  2. Marko Antonio Rojas-Medar
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Correspondence to Valeriano Antunes de Oliveira.

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de Oliveira, V.A., Rojas-Medar, M.A. Proper efficiency in vector infinite programming problems. Optim Lett 3, 319–328 (2009). https://doi.org/10.1007/s11590-008-0111-8

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  • DOI: https://doi.org/10.1007/s11590-008-0111-8

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