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Vector optimization and variational-like inequalities

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Abstract

In this paper, some properties of pseudoinvex functions are obtained. We study the equivalence between different solutions of the vector variational-like inequality problem. Some relations between vector variational-like inequalities and vector optimization problems for non-differentiable functions under generalized monotonicity are established.

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Authors and Affiliations

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

    M. Rezaie & J. Zafarani

  2. Sheikhbahaee University, Isfahan, Iran

    J. Zafarani

Authors
  1. M. Rezaie
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  2. J. Zafarani
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Corresponding author

Correspondence to J. Zafarani.

Additional information

J. Zafarani was partially supported by the Center of Excellence for Mathematics (University of Isfahan).

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Rezaie, M., Zafarani, J. Vector optimization and variational-like inequalities. J Glob Optim 43, 47–66 (2009). https://doi.org/10.1007/s10898-008-9290-1

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  • DOI: https://doi.org/10.1007/s10898-008-9290-1

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