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

Author

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  • M. Oveisiha

    (Imam Khomeini International University)

  • J. Zafarani

    (Sheikhbahaee University
    University of Isfahan)

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.

Suggested Citation

  • M. Oveisiha & J. Zafarani, 2014. "On Characterization of Solution Sets of Set-Valued Pseudoinvex Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 163(2), pages 387-398, November.
    • Handle: RePEc:spr:joptap:v:163:y:2014:i:2:d:10.1007_s10957-013-0509-z
    DOI: 10.1007/s10957-013-0509-z
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    References listed on IDEAS

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    1. Q. H. Ansari & G. M. Lee, 2010. "Nonsmooth Vector Optimization Problems and Minty Vector Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 145(1), pages 1-16, April.
    2. M. Oveisiha & J. Zafarani, 2012. "Vector optimization problem and generalized convexity," Journal of Global Optimization, Springer, vol. 52(1), pages 29-43, January.
    3. X. M. Yang, 2009. "On Characterizing the Solution Sets of Pseudoinvex Extremum Problems," Journal of Optimization Theory and Applications, Springer, vol. 140(3), pages 537-542, March.
    4. S. Al-Homidan & Q. H. Ansari, 2010. "Generalized Minty Vector Variational-Like Inequalities and Vector Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 144(1), pages 1-11, January.
    5. X. Huang & J. Yao, 2013. "Characterizations of the nonemptiness and compactness for solution sets of convex set-valued optimization problems," Journal of Global Optimization, Springer, vol. 55(3), pages 611-626, March.
    Full references (including those not matched with items on IDEAS)

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