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The Well-Posedness for Multiobjective Generalized Games

Author

Listed:
  • J. W. Peng

    (Chongqing Normal University)

  • S. Y. Wu

    (National Cheng Kung University)

Abstract

In this paper, the new notions of the generalized Tykhonov well-posedness for multiobjective generalized games are investigated. By using the gap functions of the multiobjective generalized games, we establish the equivalent relationship between the generalized Tykhonov well-posedness of the multiobjective generalized games and that of the minimization problems. Some metric characterizations for the generalized Tykhonov well-posedness of the multiobjective generalized games are also presented.

Suggested Citation

  • J. W. Peng & S. Y. Wu, 2011. "The Well-Posedness for Multiobjective Generalized Games," Journal of Optimization Theory and Applications, Springer, vol. 150(2), pages 416-423, August.
    • Handle: RePEc:spr:joptap:v:150:y:2011:i:2:d:10.1007_s10957-011-9839-x
    DOI: 10.1007/s10957-011-9839-x
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    References listed on IDEAS

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    1. M. Margiocco & F. Patrone & L. Pusillo Chicco, 1999. "Metric Characterizations of Tikhonov Well-Posedness in Value," Journal of Optimization Theory and Applications, Springer, vol. 100(2), pages 377-387, February.
    2. Jacqueline Morgan, 2005. "Approximations and Well-Posedness in Multicriteria Games," Annals of Operations Research, Springer, vol. 137(1), pages 257-268, July.
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    Cited by:

    1. M. Darabi & J. Zafarani, 2015. "Tykhonov Well-Posedness for Quasi-Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 165(2), pages 458-479, May.

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