Abstract

In this paper, we obtain sufficient conditions for the existence of common fixed points in the framework of ordered $b$-metric spaces. Our results generalize some recent results in the literature. Also, to illustrate the usability of the results we give an adequate example in which $b$-metric is not continuous.

Keywords: Fixed point; $C$-class function; dominating mappings; $b$-metric space.

MSC: 47H10, 54H25

Pages:  23--30     

Volume  71 ,  Issue  1-2 ,  2019