TY - JOUR T1 - Iteračné postupnosti lineárnych lomených funkcií I A1 - Murínová, Elena A1 - Snoha, Ľubomír JA - Obzory matematiky, fyziky a informatiky Y1 - 2000 VL - 29 IS - 3 SP - 1 EP - 13 SN - 1335-4981 N2 - Linear fractional functions as real functions of a real variable are considered They are divided into five disjoint classes according to the number of fixed points and behaviour of the iteration sequences. A special attention is paid to the periodic points. A kind of Sharkovskii theorem is given for such functions. An application, some problems from mathematical olympiads and from problem book of mathematical analysis are solved. ER -