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On Solutions of Variational Inequality Problems via Iterative Methods

Author

Listed:
  • Mohammed Ali Alghamdi
  • Naseer Shahzad
  • Habtu Zegeye

Abstract

We investigate an algorithm for a common point of fixed points of a finite family of Lipschitz pseudocontractive mappings and solutions of a finite family of γ‐inverse strongly accretive mappings. Our theorems improve and unify most of the results that have been proved in this direction for this important class of nonlinear mappings.

Suggested Citation

  • Mohammed Ali Alghamdi & Naseer Shahzad & Habtu Zegeye, 2014. "On Solutions of Variational Inequality Problems via Iterative Methods," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:424875
    DOI: 10.1155/2014/424875
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    References listed on IDEAS

    as
    1. H. Zegeye & N. Shahzad, 2012. "An Iteration to a Common Point of Solution of Variational Inequality and Fixed Point-Problems in Banach Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-19, June.
    2. H. Zegeye & N. Shahzad, 2013. "Extragradient Method for Solutions of Variational Inequality Problems in Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, July.
    3. Lu-Chuan Ceng & Adrian Petrusel & Mu-Ming Wong & Jen-Chih Yao, 2014. "Hybrid Algorithms for Solving Variational Inequalities, Variational Inclusions, Mixed Equilibria, and Fixed Point Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. H. Zegeye & N. Shahzad, 2012. "An Iteration to a Common Point of Solution of Variational Inequality and Fixed Point‐Problems in Banach Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    5. H. Zegeye & N. Shahzad, 2013. "Extragradient Method for Solutions of Variational Inequality Problems in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. Lu-Chuan Ceng & Adrian Petrusel & Mu-Ming Wong & Jen-Chih Yao, 2014. "Hybrid Algorithms for Solving Variational Inequalities, Variational Inclusions, Mixed Equilibria, and Fixed Point Problems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-22, February.
    Full references (including those not matched with items on IDEAS)

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