%0 Journal Article
%T A generalization of Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Faraji, Hamid
%A Nourouzi, Kourosh
%D 2017
%\ 04/01/2017
%V 06
%N 1
%P 77-86
%! A generalization of Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces
%K $b$-metric space
%K Common fixed point
%K Altering distance function
%R 10.22130/scma.2017.23831
%X In this paper, we give some results on the common fixed point of self-mappings defined on complete $b$-metric spaces. Our results generalize Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces. In particular, we show that two self-mappings satisfying a contraction type inequality have a unique common fixed point. We also give some examples to illustrate the given results.
%U http://scma.maragheh.ac.ir/article_23831_6c258f4180145f5370b887cf815cd897.pdf