Fredholm integral equation in composed-cone metric spaces

Abstract

Abstract The current paper introduces a novel generalization of cone metric spaces called type I and type II composed cone metric spaces. Therefore, examples of a type I and type II composed cone metric space, which is not a cone metric space, are given. We establish some results of fixed point precisely about Hardy–Rogers type contraction on C2CMS and provide examples. Finally, we present an application of our results and how our results solve the Fredholm integral equation of generalizing several existing and unique fixed point theorems.

Keywords

• Cone metric space(CMS)
• Fixed point
• Cone b-metric space(CbMS)
• Type I composed cone metric space(C1CMS)
• Type II composed cone metric space(C2CMS)