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Generalized Knaster–Kuratowski–Mazurkiewicz Theorem Without Convex Hull

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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.

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Authors and Affiliations

  1. College of Economics and Business Administration, Chongqing University, Chongqing, 400044, China

    Zhe Yang & Yong Jian Pu

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  1. Zhe Yang
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  2. Yong Jian Pu
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Correspondence to Zhe Yang.

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Communicated by Antonino Maugeri.

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Yang, Z., Pu, Y.J. Generalized Knaster–Kuratowski–Mazurkiewicz Theorem Without Convex Hull. J Optim Theory Appl 154, 17–29 (2012). https://doi.org/10.1007/s10957-012-9994-8

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  • DOI: https://doi.org/10.1007/s10957-012-9994-8

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