Parametric Metric Space, Parametric b-metric Space and Expansive Type Mapping

Abstract

In this article, we present some fixed point theorems under various expansive conditions in parametric metric spaces and parametric b-metric spaces. The presented theorems extend, generalize and improve many existing results in [13]. Also we prove a common fixed point theorem, which is generalization of Theorem 2.2 of Jain et al. [24] in the setting of parametric b-metric space. We introduce an example the support the validity of our result.