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Explicit Iterative Method for Variational Inequalities on Hadamard Manifolds

Author

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  • Muhammad Aslam Noor
  • Khalida Inayat Noor

Abstract

An explicit iterative method for solving the variational inequalities on Hadamard manifold is suggested and analyzed using the auxiliary principle technique. The convergence of this new method requires only the partially relaxed strongly monotonicity, which is a weaker condition than monotonicity. Results can be viewed as refinement and improvement of previously known results.

Suggested Citation

  • Muhammad Aslam Noor & Khalida Inayat Noor, 2012. "Explicit Iterative Method for Variational Inequalities on Hadamard Manifolds," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:691806
    DOI: 10.1155/2012/691806
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    References listed on IDEAS

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    1. Muhammad Aslam Noor & Khalida Inayat Noor, 2012. "Proximal Point Methods for Solving Mixed Variational Inequalities on the Hadamard Manifolds," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-8, May.
    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, 2012. "Some Aspects of Extended General Variational Inequalities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Muhammad Aslam Noor & Khalida Inayat Noor, 2012. "Proximal Point Methods for Solving Mixed Variational Inequalities on the Hadamard Manifolds," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    5. Muhammad Aslam Noor & Saira Zainab & Yonghong Yao, 2012. "Implicit Methods for Equilibrium Problems on Hadamard Manifolds," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-9, May.
    6. Muhammad Aslam Noor & Saira Zainab & Yonghong Yao, 2012. "Implicit Methods for Equilibrium Problems on Hadamard Manifolds," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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