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Equivalent conditions involving common fixed points for maps on the unit interval |
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| Authors: | Jacek R. Jachymski |
| Affiliation: | Institute of Mathematics, Technical University of Łódź, Żwirki 36, 90-924 Łódź, Poland |
| Abstract: | Let  be a continuous self-map of the unit interval  . Equivalent conditions are given to ensure that  has a common fixed point with every continuous map  that commutes with  on a suitable subset of  . This extends a recent result of Gerald Jungck. |
| Keywords: | Common fixed points equicontinuity commuting maps iterates unit interval |
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