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

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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.

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Authors and Affiliations

  1. Department of Mathematics, International University of Hochiminh City, Linh Trung, Thu Duc, Hochiminh City, Vietnam

    P. Q. Khanh

  2. Department of Mathematics, College of Sciences, Cantho University, Cantho, Vietnam

    D. N. Quy

Authors
  1. P. Q. Khanh
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  2. D. N. Quy
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Correspondence to P. Q. Khanh.

Additional information

Communicated by X.Q. Yang.

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Khanh, P.Q., Quy, D.N. On Ekeland’s Variational Principle for Pareto Minima of Set-Valued Mappings. J Optim Theory Appl 153, 280–297 (2012). https://doi.org/10.1007/s10957-011-9957-5

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  • DOI: https://doi.org/10.1007/s10957-011-9957-5

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