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On Hölder continuity of solution maps of parametric primal and dual Ky Fan inequalities

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An Erratum to this article was published on 20 March 2015

Abstract

We consider parametric primal and dual Ky Fan inequalities in metric linear spaces. Sufficient conditions for Hölder continuity of solutions are established. Many examples are provided to illustrate the essentialness of the imposed assumptions and advantages of the results over existing ones. As applications, we derive this Hölder continuity of solutions for constrained minimization and variational inequalities.

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Acknowledgments

This work was supported by the Vietnam National University Hochiminh City (VNU-HCM) under the grant number B2013-28-01. The authors would like to thank the two anonymous referees for their valuable remarks and suggestions, which helped to improve the paper.

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Authors and Affiliations

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

    L. Q. Anh

  2. Department of Mathematics, International University, Vietnam National University Hochiminh City, Linh Trung, Thu Duc, Ho Chi Minh City, Vietnam

    P. Q. Khanh

  3. Federation University Australia, Ballarat, VIC, 3350, Australia

    P. Q. Khanh

  4. Department of Mathematics, Teacher College, Taydo University, Cantho, Vietnam

    T. N. Tam

Authors
  1. L. Q. Anh
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  2. P. Q. Khanh
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  3. T. N. Tam
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Correspondence to L. Q. Anh.

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Anh, L.Q., Khanh, P.Q. & Tam, T.N. On Hölder continuity of solution maps of parametric primal and dual Ky Fan inequalities. TOP 23, 151–167 (2015). https://doi.org/10.1007/s11750-014-0332-1

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  • DOI: https://doi.org/10.1007/s11750-014-0332-1

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