On The Stability Of Fixed Points In Topological Spaces

Abstract

In this papers we introduced new concepts of stability: strongly stable, c-stable, and c-strongly stable. We discussed the stability of fixed points with respect to each of a topology and a base for that topology. We obtained that if a fixed point is stable (strongly stable, c-stable, strongly c- stable respectively) with respect to a base for a topology, then it is stable (strongly stable, c-stable, strongly c- stable respectively) with respect to that topology

Keywords

• Fixed points
• Stable fixed point
• Orbit
• Dynamical system
• Convergent sequences.