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Tykhonov Well-Posedness for Quasi-Equilibrium Problems

Author

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  • M. Darabi

    (University of Isfahan)

  • J. Zafarani

    (Sheikhbahaee University and University of Isfahan)

Abstract

We consider an extension of the notion of Tykhonov well-posedness for perturbed vector quasi-equilibrium problems. We establish some necessary and sufficient conditions for verifying these well-posedness properties. As for applications of our results, the Tykhonov well-posedness of vector variational-like inequalities and vector optimization problems is established.

Suggested Citation

  • M. Darabi & J. Zafarani, 2015. "Tykhonov Well-Posedness for Quasi-Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 165(2), pages 458-479, May.
    • Handle: RePEc:spr:joptap:v:165:y:2015:i:2:d:10.1007_s10957-014-0630-7
    DOI: 10.1007/s10957-014-0630-7
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    References listed on IDEAS

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    1. L. Q. Anh & T. Q. Duy & D. V. Hien, 2020. "Well-posedness for the optimistic counterpart of uncertain vector optimization problems," Annals of Operations Research, Springer, vol. 295(2), pages 517-533, December.

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