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On General Mixed Quasivariational Inequalities

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Abstract

In this paper, we suggest and analyze several iterative methods for solving general mixed quasivariational inequalities by using the technique of updating the solution and the auxiliary principle. It is shown that the convergence of these methods requires either the pseudomonotonicity or the partially relaxed strong monotonicity of the operator. Proofs of convergence is very simple. Our new methods differ from the existing methods for solving various classes of variational inequalities and related optimization problems. Various special cases are also discussed.

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Authors and Affiliations

  1. Etisalat College of Engineering, Sharjah, United Arab Emirates

    M. A. Noor (Professor)

  2. Department of Mathematics and Computer Science, United Arab Emirates University, Al-Ain, United Arab Emirates

    K. I. Noor (Professor)

Authors
  1. M. A. Noor
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  2. K. I. Noor
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Noor, M.A., Noor, K.I. On General Mixed Quasivariational Inequalities. Journal of Optimization Theory and Applications 120, 579–599 (2004). https://doi.org/10.1023/B:JOTA.0000025711.33422.fc

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  • DOI: https://doi.org/10.1023/B:JOTA.0000025711.33422.fc

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