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Vector optimization problem and generalized convexity

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Abstract

Some properties of α-weakly preinvex and pseudoinvex functions via Clarke-Rockafellar and limiting subdifferentials are obtained. Furthermore, the equivalence between vector variational-like inequalities and vector optimization problems are studied under pseudoinvexity condition.

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Authors and Affiliations

  1. University of Isfahan, 81745-163, Isfahan, Iran

    M. Oveisiha

  2. Sheikhbahaee University and University of Isfahan, Isfahan, Iran

    J. Zafarani

Authors
  1. M. Oveisiha
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  2. J. Zafarani
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Correspondence to J. Zafarani.

Additional information

The second author was partially supported by the Center of Excellence for Mathematics (University of Isfahan).

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Oveisiha, M., Zafarani, J. Vector optimization problem and generalized convexity. J Glob Optim 52, 29–43 (2012). https://doi.org/10.1007/s10898-011-9657-6

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  • DOI: https://doi.org/10.1007/s10898-011-9657-6

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