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On the existence of antiperiodic solutions for hemivariational inequalities: an equilibrium problem approach

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Abstract

Exploiting recent results obtained in the theory of equilibrium problems, we focus on the study of the existence of antiperiodic solutions for a first order hemivariational inequality problem. The problem involved is associated to time dependent pseudomonotone and quasimonotone operators. Our results are new and lead to introduce a new and efficient approach for the study of hemivariational inequality problems.

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Acknowledgements

The research of the second author was supported by a Grant of the Romanian National Authority for Scientific Research, CNCS-UEFISCDI, Project Number PN-III-P4-ID-PCE-2016-0190. The third author acknowledges the support by the Grant of the Romanian National Authority for Scientific Research, CNCS-UEFISCDI, Project Number PN-III-P4-ID-PCE-2016-0190. Part of this work was done during her visits at the Faculty of Mathematics and Computer Science of the Babeş-Bolyai University, Cluj-Napoca, Romania. We would like to thank the anonymous referee for valuable comments and suggestions which helped us improve the presentation of the paper.

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Authors and Affiliations

  1. Department of Economics, Faculty of Economics and Social Sciences, Ibn Zohr University, B.P. 8658, Poste Dakhla, Agadir, Morocco

    Ouayl Chadli

  2. Faculty of Mathematics and Computer Science, Babes-Bolyai University, 1 M. Kogalniceanu, 400084, Cluj-Napoca, Romania

    Gábor Kassay

  3. Department of Mathematics, Ibn Zohr University, Agadir, Morocco

    Asma Saidi

Authors
  1. Ouayl Chadli
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  2. Gábor Kassay
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  3. Asma Saidi
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Correspondence to Gábor Kassay.

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Chadli, O., Kassay, G. & Saidi, A. On the existence of antiperiodic solutions for hemivariational inequalities: an equilibrium problem approach. Optim Lett 15, 879–900 (2021). https://doi.org/10.1007/s11590-019-01490-1

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