On The Stability Of Fixed Points In Topological Spaces
DOI:
https://doi.org/10.31642/JoKMC/2018/020203Keywords:
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 topologyDownloads
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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Copyright (c) 2023 Abedal-Hamza Mahdi Hamza, Mohammed Faris Y
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