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A New Fixed Point Theorem and Applications

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  • Min Fang
  • Xie Ping Ding

Abstract

A new fixed point theorem is established under the setting of a generalized finitely continuous topological space (GFC‐space) without the convexity structure. As applications, a weak KKM theorem and a minimax inequalities of Ky Fan type are also obtained under suitable conditions. Our results are different from known results in the literature.

Suggested Citation

  • Min Fang & Xie Ping Ding, 2013. "A New Fixed Point Theorem and Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:432402
    DOI: 10.1155/2013/432402
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    References listed on IDEAS

    as
    1. Tarafdar, E., 1991. "A fixed point theorem and equilibrium point of an abstract economy," Journal of Mathematical Economics, Elsevier, vol. 20(2), pages 211-218.
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