Common fixed points for compatible maps on the unit interval
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- by Gerald Jungck PDF
- Proc. Amer. Math. Soc. 115 (1992), 495-499 Request permission
Abstract:
Let $g$ be a continuous self-map of the unit interval $I$. It is proved that $g$ has a common fixed point with every continuous function $f:I \to I$ that is nontrivially compatible with $g$ iff every periodic point of $g$ is a fixed point of $g$.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 495-499
- MSC: Primary 54H25
- DOI: https://doi.org/10.1090/S0002-9939-1992-1105040-0
- MathSciNet review: 1105040