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Stability of Equilibria via Regularity of the Diagonal Subdifferential Operator

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Abstract

In this paper we investigate the Aubin property of the solution map of a parametric equilibrium problem, by providing a connection with a suitable behaviour of the diagonal subdifferential operator associated to the equilibrium bifunction. In particular, we shed some light on the relationship between metric regularity and subregularity of the diagonal subdifferential, on one side, and some properties of the bifunction, on the other side.

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Acknowledgements

We wish to thank the anonymous referees for their useful comments which improved the presentation of the paper.

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Authors and Affiliations

  1. Università Cattolica del Sacro Cuore, Milano, Italy

    M. Bianchi

  2. Babes-Bolyai University, Cluj-Napoca, Romania

    G. Kassay

  3. Università degli Studi di Milano-Bicocca, Milano, Italy

    R. Pini

Authors
  1. M. Bianchi
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  2. G. Kassay
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  3. R. Pini
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Corresponding author

Correspondence to R. Pini.

Additional information

The research of the second author was supported by a grant of the Romanian National Authority for Scientific Research CNCS - UEFISCDI, project number PN-II-ID-PCE-2011-3-0024. Part of the research was done when the first and the third author were visiting Babes-Bolyai University of Cluj-Napoca, Romania

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Bianchi, M., Kassay, G. & Pini, R. Stability of Equilibria via Regularity of the Diagonal Subdifferential Operator. Set-Valued Var. Anal 25, 789–805 (2017). https://doi.org/10.1007/s11228-017-0433-8

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  • DOI: https://doi.org/10.1007/s11228-017-0433-8

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