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Generalized Equilibrium Problems for Quasimonotone and Pseudomonotone Bifunctions

Author

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  • M. Fakhar

    (University of Isfahan)

  • J. Zafarani

    (University of Isfahan)

Abstract

By using quasimonotone and pseudomonotone bifunctions, we derive sufficient conditions which include weak coercivity conditions for existence of equilibrium points. As a consequence, we improve some recent results on the existence of such solutions.

Suggested Citation

  • M. Fakhar & J. Zafarani, 2004. "Generalized Equilibrium Problems for Quasimonotone and Pseudomonotone Bifunctions," Journal of Optimization Theory and Applications, Springer, vol. 123(2), pages 349-364, November.
    • Handle: RePEc:spr:joptap:v:123:y:2004:i:2:d:10.1007_s10957-004-5153-1
    DOI: 10.1007/s10957-004-5153-1
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    References listed on IDEAS

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    1. I. V. Konnov & S. Schaible, 2000. "Duality for Equilibrium Problems under Generalized Monotonicity," Journal of Optimization Theory and Applications, Springer, vol. 104(2), pages 395-408, February.
    2. O. Chaldi & Z. Chbani & H. Riahi, 2000. "Equilibrium Problems with Generalized Monotone Bifunctions and Applications to Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 105(2), pages 299-323, May.
    3. Konnov, I.V. & Schaible, S., 1998. "Duality for Equilibrium Problems," The A. Gary Anderson Graduate School of Management 98-05, The A. Gary Anderson Graduate School of Management. University of California Riverside.
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    Cited by:

    1. M. Fakhar & M. Lotfipour & J. Zafarani, 2013. "On the Brézis Nirenberg Stampacchia-type theorems and their applications," Journal of Global Optimization, Springer, vol. 55(4), pages 751-770, April.

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