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Auxiliary Principle Technique for Solving Bifunction Variational Inequalities

Author

Listed:
  • M. A. Noor

    (COMSATS Institute of Information Technology
    King Saud University)

  • K. I. Noor

    (COMSATS Institute of Information Technology)

  • E. Al-Said

    (King Saud University)

Abstract

In this paper, we use the auxiliary principle technique to suggest and analyze an implicit iterative method for solving bifunction variational inequalities. We also study the convergence criteria of this new method under pseudomonotonicity condition.

Suggested Citation

  • M. A. Noor & K. I. Noor & E. Al-Said, 2011. "Auxiliary Principle Technique for Solving Bifunction Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 149(2), pages 441-445, May.
    • Handle: RePEc:spr:joptap:v:149:y:2011:i:2:d:10.1007_s10957-010-9785-z
    DOI: 10.1007/s10957-010-9785-z
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    References listed on IDEAS

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    1. M. A. Noor, 2004. "Auxiliary Principle Technique for Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 122(2), pages 371-386, August.
    2. G. P. Crespi & I. Ginchev & M. Rocca, 2004. "Minty Variational Inequalities, Increase-Along-Rays Property and Optimization1," Journal of Optimization Theory and Applications, Springer, vol. 123(3), pages 479-496, December.
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