CONTINUITY OF THE ORBITAL AND LIMIT SET MAPS IN GENERAL DYNAMICAL SYSTEMS

S. M. Saperstone and M. Nishihama (6) had showed both continuity and stability of the orbital and limit set maps, K( x) and L( x), where K and L are considered as maps from X to 2 X. The main purpose of this paper is to extend continuity and stability for dynamical systems to general dynamical systems.