Coupled fixed points of generalized Suzuki type Z-contraction maps with rational expressions in b-metric spaces

Abstract

In this paper, we introduce generalized Suzuki type Z-contraction maps with rational expressions for a single map A: S ×S → S where S is a b-metric space and prove the existence and uniqueness of coupled fixed points. We extend it to a pair of selfmaps by defining generalized Suzuki type Z -contraction pair of maps with rational expressions. Two corollaries are drawn from our results and we provide examples in support of our results.