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.