On the common fixed point for commuting Lipschitz functions
Miloš Zahradník · Czech digital mathematics library · 1971
Introduction.This note deals with the existence of solution of the equation £ (x) » fy (x) m X , where £, %> are commuting and lipschitz functions.Let £ be a real-valued function defined on the set .M c E^ and oc 2-0 .£ is said to be a lipschitz function on M with the constant oc , if the inequality