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On Characterization of Solution Sets of Set-Valued Pseudoinvex Optimization Problems

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Abstract

In this paper, by using the scalarization method, we consider Stampacchia variational-like inequalities in terms of normal subdifferential for set-valued maps and study their relations with set-valued optimization problems. Furthermore, some characterizations of the solution sets of pseudoinvex extremum problems are given.

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Acknowledgements

The authors would like to thank the referees for valuable remarks. The second author was partially supported by the Center of Excellence for Mathematics, University of Isfahan, Iran.

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Authors and Affiliations

  1. Department of Mathematics, Imam Khomeini International University, 34149-16818, Qazvin, Iran

    M. Oveisiha

  2. Department of Mathematics, Sheikhbahaee University, Isfahan, Iran

    J. Zafarani

  3. University of Isfahan, Isfahan, Iran

    J. Zafarani

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

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Oveisiha, M., Zafarani, J. On Characterization of Solution Sets of Set-Valued Pseudoinvex Optimization Problems. J Optim Theory Appl 163, 387–398 (2014). https://doi.org/10.1007/s10957-013-0509-z

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  • DOI: https://doi.org/10.1007/s10957-013-0509-z

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