C∗-Algebra-Valued Extended Rectangular Hb-Metric Spaces and Presić-Type Fixed Point Theorem with an Application

Abstract

In this article, we introduce the concept of C∗-algebra-valued extended rectangular Hb-metric spaces and use it to prove the Banach contraction principle (BCP). Also, we extend this concept to Presić type contractions and use a method to shorten the proof. We also take an application to show the usefulness of our main result.