We study the space of all continuous and increasing self-mappings of the real interval ![[0,1]](https://www.carpathian.cunbm.utcluj.ro/wp-content/ql-cache/quicklatex.com-62fd7f3496fe2db293e3d10d470bc5fc_l3.svg "Rendered by QuickLaTeX.com")
equipped with the topology of uniform convergence. In particular, we show that most such functions have at least two different fixed points.
Most continuous and increasing functions have two different fixed points
Reich, Simeon and Zaslavski, Alexander J.
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