Equivalent conditions involving common fixed points for maps on the unit interval
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- by Jacek R. Jachymski PDF
- Proc. Amer. Math. Soc. 124 (1996), 3229-3233 Request permission
Abstract:
Let $g$ be a continuous self-map of the unit interval $I$. Equivalent conditions are given to ensure that $g$ has a common fixed point with every continuous map $f:I\mapsto I$ that commutes with $g$ on a suitable subset of $I$. This extends a recent result of Gerald Jungck.References
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Additional Information
- Jacek R. Jachymski
- Affiliation: Institute of Mathematics, Technical University of Łódź, Żwirki 36, 90-924 Łódź, Poland
- Email: jachymsk@lodz1.p.lodz.pl
- Received by editor(s): September 9, 1993
- Received by editor(s) in revised form: March 29, 1995
- Communicated by: James E. West
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3229-3233
- MSC (1991): Primary 54H25; Secondary 54E45
- DOI: https://doi.org/10.1090/S0002-9939-96-03397-7
- MathSciNet review: 1328352