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On an Implicit Method for Nonconvex Variational Inequalities

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Abstract

In this paper, we suggest and analyze an implicit iterative method for solving nonconvex variational inequalities using the technique of the projection operator. We also discuss the convergence of the iterative method under partially relaxed strongly monotonicity, which is a weaker condition than cocoerciveness. Our method of proof is very simple.

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Authors and Affiliations

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

    M. A. Noor

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

    M. A. Noor

Authors
  1. M. A. Noor
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Correspondence to M. A. Noor.

Additional information

Communicated by F. Giannessi.

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Noor, M.A. On an Implicit Method for Nonconvex Variational Inequalities. J Optim Theory Appl 147, 411–417 (2010). https://doi.org/10.1007/s10957-010-9717-y

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  • DOI: https://doi.org/10.1007/s10957-010-9717-y

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