Common Fixed Points for a Pair of Selfmaps in Extended Rectangular B-Metric Spaces for Almost Alpha-Suzuki Non Linear Type Contractions

Abstract

In this paper, we define almost alpha-Suzuki generalized rational type contraction and almost alpha- Suzuki Ciric type contraction for a pair of self maps in extended rectangular B-metric spaces and prove the existence of common fixed points for these contractions. The presented results are supported by examples. Our results improve and generalize the many results in the literature. As a consequence, we applied our results to study the existence of common fixed point theorems equipped with a directed graph.