Common fixed points of Geraghty-Suzuki type contraction maps in b-metric spaces

Abstract

In this paper, we prove the existence and uniqueness of common fixed points for two pairs of selfmaps satisfying a Geraghty-Suzuki type contraction condition in which one pair is compatible, b-continous and the another one is weakly compatible in complete b-metric spaces. Further, we prove the same with different hypotheses on two pairs of selfmaps which satisfy b-(E.A)-property. We draw some corollaries from our results and provide examples in support of our results