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Approximate fixed points for discontinuous set-valued mappings

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Abstract.

We define a notion of measure of discontinuity and establish an existence theorem of approximate fixed point for discontinuous set-valued maps, generalizing the fixed point theorem of Kakutani.

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Authors and Affiliations

  1. Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong (e-mail: mahoush@polyu.edu.hk), , , , , , HK

    Shui-Hung Hou

  2. Institute of System Science, Academia Sinica, Beijing 100080, China, , , , , , CN

    Guang Ya Chen

Authors
  1. Shui-Hung Hou
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  2. Guang Ya Chen
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Revised version received November 1997

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Hou, SH., Chen, G. Approximate fixed points for discontinuous set-valued mappings. Mathematical Methods of OR 48, 201–206 (1998). https://doi.org/10.1007/s001860050022

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  • DOI: https://doi.org/10.1007/s001860050022