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On Hölder calmness of solution mappings in parametric equilibrium problems

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Abstract

We consider parametric equilibrium problems in metric spaces. Sufficient conditions for the Hölder calmness of solutions are established. We also study the Hölder well-posedness for equilibrium problems in metric spaces.

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Acknowledgements

The authors wish to thank Phan Quoc Khanh and the anonymous referees for the careful reading of the paper and valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Teacher College, Cantho University, Cantho City, Vietnam

    L. Q. Anh

  2. School of Science, IT and Engineering, University of Ballarat, Ballarat, Vic, Australia

    A. Y. Kruger & N. H. Thao

Authors
  1. L. Q. Anh
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  2. A. Y. Kruger
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  3. N. H. Thao
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Correspondence to A. Y. Kruger.

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Anh, L.Q., Kruger, A.Y. & Thao, N.H. On Hölder calmness of solution mappings in parametric equilibrium problems. TOP 22, 331–342 (2014). https://doi.org/10.1007/s11750-012-0259-3

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  • DOI: https://doi.org/10.1007/s11750-012-0259-3

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