Fixed point theorems for generalized τ-ψ-contraction mappings in rectangular quasi b-metric spaces

Abstract

In the last few decades, a lot of generalizations of The Banach contraction principle had been introduced. Recently, Piri et al. gave an interesting generalization of this principle in the framework of generalized quasi bmetric spaces. In this paper, we present the notion of τ-ψ-contraction and τ-ψ-contraction in generalized quasi b-metric spaces to study the existence and uniqueness of fixed point for them. We will also provide some illustrative examples. Our results improve many existing results.