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Existence of Solutions to Some Equilibrium Problems

Author

Listed:
  • B. Djafari. Rouhani

    (Shahid Beheshti University)

  • E. Tarafdar

    (University of Queensland)

  • P. J. Watson

    (IKOS Research)

Abstract

The concept of a monotone family of functions, which need not be countable, and the solution of an equilibrium problem associated with the family are introduced. A fixed-point theorem is applied to prove the existence of solutions to the problem.

Suggested Citation

  • B. Djafari. Rouhani & E. Tarafdar & P. J. Watson, 2005. "Existence of Solutions to Some Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 126(1), pages 97-107, July.
    • Handle: RePEc:spr:joptap:v:126:y:2005:i:1:d:10.1007_s10957-005-2660-7
    DOI: 10.1007/s10957-005-2660-7
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    Cited by:

    1. K. R. Kazmi & S. A. Khan, 2009. "Existence of Solutions to a Generalized System," Journal of Optimization Theory and Applications, Springer, vol. 142(2), pages 355-361, August.
    2. N. X. Hai & P. Q. Khanh, 2007. "Systems of Set-Valued Quasivariational Inclusion Problems," Journal of Optimization Theory and Applications, Springer, vol. 135(1), pages 55-67, October.
    3. M. Bianchi & I. Konnov & R. Pini, 2010. "Lexicographic and sequential equilibrium problems," Journal of Global Optimization, Springer, vol. 46(4), pages 551-560, April.

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