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A fixed-point theorem for |
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| Authors: | Valentin G. Gutev |
| Affiliation: | Department of Mathematics, University of Sofia, Sofia, Bulgaria |
| Abstract: | The familiar fixed-point theorem of Kakutani is strengthened by weakening the hypotheses on the set-valued mapping. Applications are made for  and  decompositions of compact metric spaces. |
| Keywords: | Set-valued mapping upper semi-continuous $UV^n$ set decomposition |
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