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Generalized Knaster–Kuratowski–Mazurkiewicz Theorem Without Convex Hull

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  • Zhe Yang

    (Chongqing University)

  • Yong Jian Pu

    (Chongqing University)

Abstract

In this paper, a new notion of Knaster–Kuratowski–Mazurkiewicz mapping is introduced and a generalized Knaster–Kuratowski–Mazurkiewicz theorem is proved. As applications, some existence theorems of solutions for (vector) Ky Fan minimax inequality, Ky Fan section theorem, variational relation problems, n-person noncooperative game, and n-person noncooperative multiobjective game are obtained.

Suggested Citation

  • Zhe Yang & Yong Jian Pu, 2012. "Generalized Knaster–Kuratowski–Mazurkiewicz Theorem Without Convex Hull," Journal of Optimization Theory and Applications, Springer, vol. 154(1), pages 17-29, July.
    • Handle: RePEc:spr:joptap:v:154:y:2012:i:1:d:10.1007_s10957-012-9994-8
    DOI: 10.1007/s10957-012-9994-8
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    References listed on IDEAS

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    1. M. Balaj & L. J. Lin, 2011. "Generalized Variational Relation Problems with Applications," Journal of Optimization Theory and Applications, Springer, vol. 148(1), pages 1-13, January.
    2. D. T. Luc, 2008. "An Abstract Problem in Variational Analysis," Journal of Optimization Theory and Applications, Springer, vol. 138(1), pages 65-76, July.
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