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Noncompact Equilibrium Points and Applications

Author

Listed:
  • Zahra Al-Rumaih
  • Souhail Chebbi
  • Hong Kun Xu

Abstract

We prove an equilibrium existence result for vector functions defined on noncompact domain and we give some applications in optimization and Nash equilibrium in noncooperative game.

Suggested Citation

  • Zahra Al-Rumaih & Souhail Chebbi & Hong Kun Xu, 2012. "Noncompact Equilibrium Points and Applications," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:373462
    DOI: 10.1155/2012/373462
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    References listed on IDEAS

    as
    1. Monica Bianchi & Siegfried Schaible, 2004. "Equilibrium Problems under Generalized Convexity and Generalized Monotonicity," Journal of Global Optimization, Springer, vol. 30(2), pages 121-134, November.
    2. M. Bianchi & N. Hadjisavvas & S. Schaible, 1997. "Vector Equilibrium Problems with Generalized Monotone Bifunctions," Journal of Optimization Theory and Applications, Springer, vol. 92(3), pages 527-542, March.
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    Cited by:

    1. Mijanur Rahaman & Adem Kılıçman & Rais Ahmad, 2014. "Extended Mixed Vector Equilibrium Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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