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On Ekeland’s Variational Principle for Pareto Minima of Set-Valued Mappings

Author

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  • P. Q. Khanh

    (International University of Hochiminh City)

  • D. N. Quy

    (Cantho University)

Abstract

We propose relaxed lower semicontinuity properties for set-valued mappings, using weak τ-functions, and employ them to weaken known lower semicontinuity assumptions to get enhanced Ekeland’s variational principle for Pareto minimizers of set-valued mappings and underlying minimal-element principles. Our results improve and recover recent ones in the literature.

Suggested Citation

  • P. Q. Khanh & D. N. Quy, 2012. "On Ekeland’s Variational Principle for Pareto Minima of Set-Valued Mappings," Journal of Optimization Theory and Applications, Springer, vol. 153(2), pages 280-297, May.
    • Handle: RePEc:spr:joptap:v:153:y:2012:i:2:d:10.1007_s10957-011-9957-5
    DOI: 10.1007/s10957-011-9957-5
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    References listed on IDEAS

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    1. P. Khanh & D. Quy, 2011. "On generalized Ekeland’s variational principle and equivalent formulations for set-valued mappings," Journal of Global Optimization, Springer, vol. 49(3), pages 381-396, March.
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    Cited by:

    1. Yuqing Chen & Chuangliang Zhang, 2018. "On the Weak Semi-continuity of Vector Functions and Minimum Problems," Journal of Optimization Theory and Applications, Springer, vol. 178(1), pages 119-130, July.

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