Fixed-point index for compositions of set-valued maps with proximally ∞-connected values on arbitrary ANR's |
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| Authors: | Ralf Bader Wojciech Kryszewski |
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| Institution: | 1. Mathematisches Institut, Universit?t München, Theresienstrasse 39, D-80333, Munich, Germany
2. Institute of Mathematics, Nicholas Copernicus University, ul. Chopina 12/18, 87-100, Toruń, Poland
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| Abstract: | In the paper the integer-valued fixed-point index theory for compositions of set-valued maps having proximally ∞-connected values satisfying all the axioms of a fixed point index is presented. The considered approach is based on the technique of single-valued approximation on the graph. |
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