On common fixed points of commuting continuous functions on an interval
On common fixed points of commuting continuous functions on an interval
This paper offers two methods of constructing commuting pairs of continuous functions (i.e.fig such that/(g(x))=g(/(x)))which map [0, 1] to itself without common fixed points.Any such pair will be called "a solution to the commuting function problem".PA[ri):for each pair of consecutive points r, s of An + X with r<s, fin([r, …