On The Stability Of Fixed Points In Topological Spaces

Authors

  • Abedal-Hamza Mahdi Hamza University of Kufa
  • Mohammed Faris Y University of Kufa

DOI:

https://doi.org/10.31642/JoKMC/2018/020203

Keywords:

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

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

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References

Adam C. and Franzosa S., “Introduction to Topology Pure and Applied”, Pearson Prentice Hell, (2008).

Fuller A.T. "Lyapunov centenary issue", Int. J. Control 55(3), 521–527 (1992). DOI: https://doi.org/10.1080/00207179208934252

Leine R. I., "The historical development of classical stability concepts: Lagrange, Poisson and Lyapunov stability", Springer Science + Business Media B.V. (2009). DOI: https://doi.org/10.1007/s11071-009-9530-z

Munkers J. R., "topology", 2ed Ed., PHI, (2009).

Sharma J. N., "topology", Published by Krishna Prakashan, Mandir Meerut printed at Manoj printers, Meerut, (1977).

Sharma P. , and Nagar, A. , Topological dynamics on hyperspaces, Applied General Topology, Volume 11, No. 1, (2010). DOI: https://doi.org/10.4995/agt.2010.1724

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Published

2014-12-01

How to Cite

Hamza, A.-H. M., & Y, M. F. (2014). On The Stability Of Fixed Points In Topological Spaces. Journal of Kufa for Mathematics and Computer, 2(2), 11–19. https://doi.org/10.31642/JoKMC/2018/020203

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