carpathian_2023_39_1_231_236_001

Most continuous and increasing functions have two different fixed points


 Reich, Simeon and Zaslavski, Alexander J. 


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carpathian_2023_39_1_231_236

We study the space of all continuous and increasing self-mappings of the real interval [0,1] equipped with the topology of uniform convergence. In particular, we show that most such functions have at least two different fixed points.