On The Stability Of Fixed Points In Topological Spaces | ||
| Journal of Kufa for Mathematics and Computer | ||
| Article 1, Volume 2, Issue 2, August 2015, Pages 11-19 | ||
| Authors | ||
| Abedal-Hamza Mahdi Hamza; Mohammed Faris Y | ||
| 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; and Convergent sequences | ||
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