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.
Bulletin of Mathematical Sciences and Applications (Volume 8)
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