C*-algebra valued quasi metric spaces and fixed point results with an application

Abstract

In this paper, we introduce the notion of C*-algebra valued quasi metric space to generalize the notion of C*-algebra valued metric space and investigate the topological properties besides proving some core fixed point results. Finally, we employ our one of the main results to examine the existence and uniqueness of the solution for a system of Fredholm integral equations.

Keywords

• c*-algebra
• c-algebra valued quasi metric spaces
• fixed point
• integral equations