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Existence of Solutions for Noncoercive Hemivariational Inequalities by an Equilibrium Approach Under Pseudomonotone Perturbation

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Abstract

In this paper, we study the existence of a solution for a hemivariational inequality problem in a noncoercive framework. The approach adopted is an equilibrium problem formulation associated with a maximal monotone bifunction with pseudomonotone perturbation. We proceed by introducing auxiliary problems that will be studied using a new existence result for equilibrium problems. An example to illustrate the use of the theory is given.

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Acknowledgements

This work was partially supported by the Grant NSC 102-2115-M-037-002-MY3.

The authors would like to thank the anonymous referees for their constructive comments, which contributed to the improvement of the present paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Ibn Zohr University, Agadir, Morocco

    A. Lahmdani

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

    O. Chadli

  3. Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung, 807, Taiwan

    J. C. Yao

  4. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    J. C. Yao

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  1. A. Lahmdani
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  2. O. Chadli
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  3. J. C. Yao
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Correspondence to J. C. Yao.

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Lahmdani, A., Chadli, O. & Yao, J.C. Existence of Solutions for Noncoercive Hemivariational Inequalities by an Equilibrium Approach Under Pseudomonotone Perturbation. J Optim Theory Appl 160, 49–66 (2014). https://doi.org/10.1007/s10957-013-0374-9

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  • DOI: https://doi.org/10.1007/s10957-013-0374-9

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