Complex Valued Extended b-Metric Space and Its Fixed Points

Abstract

This work focuses on establishing a set of common fixed point theorems in complex valued
extended b-metric spaces, formulated under rational contraction conditions. The results obtained not only
extend the classical theorems of Azam et al. [1], Bhatt et al. [3], Bryant [4], and Rouzkard and Imdad [10],
but also provide a broader framework for their application. Furthermore, several corollaries are derived, and
illustrative examples are included to showcase the practical relevance of the theorems and the improvements
they offer over earlier results.