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Existence Results for General Mixed Quasivariational Inequalities

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  • Muhammad Aslam Noor
  • Khalida Inayat Noor

Abstract

We consider and study a new class of variational inequality, which is called the general mixed quasivariational inequality. We use the auxiliary principle technique to study the existence of a solution of the general mixed quasivariational inequality. Several special cases are also discussed. Results proved in this paper may stimulate further research in this area.

Suggested Citation

  • Muhammad Aslam Noor & Khalida Inayat Noor, 2012. "Existence Results for General Mixed Quasivariational Inequalities," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:701858
    DOI: 10.1155/2012/701858
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    References listed on IDEAS

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    1. Muhammad Aslam Noor & Khalida Inayat Noor & Eisa Al-Said, 2012. "On New Proximal Point Methods for Solving the Variational Inequalities," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Muhammad Aslam Noor, 2012. "Some Aspects of Extended General Variational Inequalities," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-16, March.
    3. 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.
    4. Muhammad Aslam Noor, 2012. "Some Aspects of Extended General Variational Inequalities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    5. 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, John Wiley & Sons, vol. 2012(1).
    6. Muhammad Aslam Noor & Khalida Inayat Noor & Eisa Al-Said, 2012. "On New Proximal Point Methods for Solving the Variational Inequalities," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-7, November.
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    Cited by:

    1. Muhammad Aslam Noor & Khalida Inayat Noor, 2012. "Some New Classes of Extended General Mixed Quasi‐Variational Inequalities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

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