Approximate fixed points for discontinuous set-valued mappings

Shui-Hung Hou and Guang Ya Chen

Mathematical Methods of Operations Research, 1998, vol. 48, issue 2, 206 pages

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. Copyright Springer-Verlag Berlin Heidelberg 1998

Keywords: Key words: Set-valued map; measure of discontinuity; approximate fixed point (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/s001860050022

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