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Implicit Schemes for Solving Extended General Nonconvex Variational Inequalities

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  • Muhammad Aslam Noor
  • Khalida Inayat Noor
  • Zhenyu Huang
  • Eisa Al-Said

Abstract

We suggest and analyze some implicit iterative methods for solving the extended general nonconvex variational inequalities using the projection technique. We show that the convergence of these iterative methods requires only the gh -pseudomonotonicity, which is a weaker condition than gh -monotonicity. We also discuss several special cases. Our method of proof is very simple as compared with other techniques.

Suggested Citation

  • Muhammad Aslam Noor & Khalida Inayat Noor & Zhenyu Huang & Eisa Al-Said, 2012. "Implicit Schemes for Solving Extended General Nonconvex Variational Inequalities," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-10, January.
    • Handle: RePEc:hin:jnljam:646259
    DOI: 10.1155/2012/646259
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