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A Wiener-Hopf Dynamical System for Mixed Equilibrium Problems

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  • Farhat Suhel
  • S. K. Srivastava
  • Suhel Ahmad Khan

Abstract

We suggest and analyze dynamical systems associated with mixed equilibrium problems by using the resolvent operator technique. We show that these systems have globally asymptotic property. The concepts and results presented in this paper extend and unify a number of previously known corresponding concepts and results in the literature.

Suggested Citation

  • Farhat Suhel & S. K. Srivastava & Suhel Ahmad Khan, 2014. "A Wiener-Hopf Dynamical System for Mixed Equilibrium Problems," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-8, April.
    • Handle: RePEc:hin:jijmms:102578
    DOI: 10.1155/2014/102578
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    References listed on IDEAS

    as
    1. Suhel Ahmad Khan & Naeem Ahmad, 2013. "Existence Results for Vector Mixed Quasi-Complementarity Problems," Journal of Mathematics, Hindawi, vol. 2013, pages 1-6, February.
    2. Yekini Shehu, 2012. "Iterative method for fixed point problem, variational inequality and generalized mixed equilibrium problems with applications," Journal of Global Optimization, Springer, vol. 52(1), pages 57-77, January.
    3. Terry L. Friesz & David Bernstein & Roger Stough, 1996. "Dynamic Systems, Variational Inequalities and Control Theoretic Models for Predicting Time-Varying Urban Network Flows," Transportation Science, INFORMS, vol. 30(1), pages 14-31, February.
    4. Y. S. Xia & J. Wang, 2000. "On the Stability of Globally Projected Dynamical Systems," Journal of Optimization Theory and Applications, Springer, vol. 106(1), pages 129-150, July.
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