Discussion on a coupled fixed point theorem for single-valued operators in b-metric spaces

Abstract

In this note, an existence and uniqueness theorem of fixed points for single-valued mappings in partially ordered b-metric spaces is established. As a corollary, the contraction constant for a coupled fixed point theorem obtained in a recent paper is relaxed from [0, 1 s ) to [0, 1). Furthermore, a system of integral equation is also discussed.