# Weak attractors and Lyapunov-like functions

• Kim, Jong-Myung (Department of Mathematics Education, Kwandong University) ;
• Kye, Young-Hee (Department of Mathematics, Koshin University) ;
• Lee, Keon-Hee (Department of Mathematics, Chungnam National University)
• Published : 1996.04.01

#### Abstract

Recently Hurley [3] proved that if A is a weak attractor of a discrete dyanamical system f then there exists a Lyapunov-like function for A. The purpose of this note is to study whether the converse of the above result does hold or not.