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Penalty methods for a system of constrained variational inequalities

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Abstract

In this paper, using the penalty method in conjunction with graph-convergence, we study the existence of solutions for a class of generalized variational inequalities with variational problem constraints. Our results extend, improve and develop some known results in this field. Our method of proofs is very simple and does not use the hemicontinuity nor the pseudo-continuity properties of monotone operators.

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Authors and Affiliations

  1. Université des Antilles et de Guyane, Ceregmia-DSI, 97200, Schoelcher, Martinique, France

    Abdellatif Moudafi

  2. Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan

    Muhammad Aslam Noor

  3. Mathematics Department, College of Science, King Saud University, Riyadh, Saudi Arabia

    Muhammad Aslam Noor

Authors
  1. Abdellatif Moudafi
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  2. Muhammad Aslam Noor
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Correspondence to Abdellatif Moudafi.

Additional information

The work of A. Moudafi was supported by Centre d’étude et de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée.

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Moudafi, A., Noor, M.A. Penalty methods for a system of constrained variational inequalities. Optim Lett 6, 451–458 (2012). https://doi.org/10.1007/s11590-010-0271-1

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  • DOI: https://doi.org/10.1007/s11590-010-0271-1

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