Nonunique Fixed‐Point Results in a General Setting with an Application

Abstract

This manuscript’s main goal is to examine the presence of fixed points in the context of controlled metric‐type spaces utilizing rational type Ćirić‐contractive conditions. We provide appropriate examples to support the validity and superiority of our conclusions. In the context of extended b‐metric space, b‐metric spaces, and standard metric spaces, our findings extrapolate and expand a number of well‐known research findings. As an application of our findings, we prove that a second‐order differential equation has a solution. The paper ends with a few open problems for further investigation of additional dimensions within this framework.