%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 https://scma.maragheh.ac.ir/article_23831_6c258f4180145f5370b887cf815cd897.pdf