Volume 38 | Number 1 | Year 2016 | Article Id. IJMTT-V38P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V38P505

Xu. H. [1] introduced weakly asymptotic contraction and proved that if T :X X is a continuous map where (X,d) is a complete metric space and :R R a map ,which is continuous and (s) < s for all s > 0 , (0) = 0 such that given > 0 , there exists n > 0 such that d(T n x , T n y) (d(x,y)) + , for all x , y in X . It is also assumed that some orbit of T i.e. { T n x : n N } for some x X is bounded . Then T has a unique fixed point y in X . Also T n x y as n . In this paper ,it has been shown that result is still true if the function is assumed to be upper semicontinuous.

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Sujata Goyal, "A Generalization of a fixed point theorem of HONG-KUN XU," *International Journal of Mathematics Trends and Technology (IJMTT)*, vol. 38, no. 1, pp. 23-26, 2016. *Crossref*, https://doi.org/10.14445/22315373/IJMTT-V38P505