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Implicit Methods for Equilibrium Problems on Hadamard Manifolds

Author

Listed:
  • Muhammad Aslam Noor
  • Saira Zainab
  • Yonghong Yao

Abstract

We use the auxiliary principle technique to suggest and analyze an implicit method for solving the equilibrium problems on Hadamard manifolds. The convergence of this new implicit method requires only the speudomonotonicity, which is a weaker condition than monotonicity. Some special cases are also considered.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:437391
    DOI: 10.1155/2012/437391
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    References listed on IDEAS

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    1. Yonghong Yao & Muhammad Aslam Noor & Yeong-Cheng Liou, 2012. "Strong Convergence of a Modified Extragradient Method to the Minimum-Norm Solution of Variational Inequalities," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-9, December.
    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. Yonghong Yao & Muhammad Aslam Noor & Yeong-Cheng Liou, 2012. "Strong Convergence of a Modified Extragradient Method to the Minimum‐Norm Solution of Variational Inequalities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. 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).

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