Common fixed points of a pair of generalized rational contraction maps in extended rectangular B-metric spaces

Abstract

In this paper, we obtain common fixed points for two self maps satisfying a general rational contraction conditions in the frame work of extended rectangular B-metric spaces. In order to justify our results, we have provided some examples. Our results improve and extend the results of Alqahtani et al. [2] and Asim et al. [3]. We apply our results to examine the existence of common fixed points in extended rectangular B-metric spaces equipped with a directed graph.