Fixed point theorems in extended quasi partial b-metric spaces with applications to Volterra integral equations

Abstract

In this paper, we introduce the concept of extended quasi partial \(b\)-metric spaces as a generalization of extended partial \(b\)-metric and quasi metric spaces. Some topological properties of the space and some fixed point results are established. Our results generalize several well-known comparable results in the literature. To validate our findings, we provide several illustrative examples. Finally, as an application, the existence of a solution of the Volterra integral equation is presented.