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Real Dynamics of Family of Functions λxex/(ex-1) for Positive λ

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Abstract:

In this paper, the real dynamics of one parameter family of functions hλ(x)=λxex(ex-1), λ>0 is investigated. It is shown that the real fixed point of hλ(x) exists only for 0<λ<1 which is attracting and there is no real fixed point for λ>1 It is found that the whole real line converges to real attracting fixed point of hλ(x) for 0<λ<1.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 8)
Pages:
60-61
DOI:
https://doi.org/10.18052/www.scipress.com/BMSA.8.60
Citation:
M. Sajid "Real Dynamics of Family of Functions λxex/(ex-1) for Positive λ", Bulletin of Mathematical Sciences and Applications, Vol. 8, pp. 60-61, 2014
Online since:
May 2014
Authors:
Mohammad Sajid
Keywords:
Fixed Points
Export:
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Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

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Tarakanta Nayak and M. Guru Prem Prasad, Iteration of certain Meromorphic Functions with Unbounded Singular Values, Ergodic Theory and Dynamical Systems, 30, No 3 (Jun 2010), 877- 891.

M. Sajidand G. P. Kapoor, Dynamics of Transcendental Meromorphic Functions ( z   )e z /(z    4) : having rational Schwarzian Derivative, Dynamical systems: An International Journal, 22, No 3 (2007), 323-337.

M. Sajid, Singular Values and Fixed Points of Family of Function Math., 27, No 2 (2014), 147-154. ( ze z ) /(e z  1), Int. J. Appl.

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