Applications and common coupled fixed point results in ordered partial metric spaces

Abstract

Abstract In this paper, we obtain a unique common coupled fixed point theorem by using ( ψ , α , β ) $(\psi , \alpha , \beta )$ -contraction in ordered partial metric spaces. We give an application to integral equations as well as homotopy theory. Also we furnish an example which supports our theorem.

Keywords

• partial metric
• w-compatible maps
• coupled fixed point
• mixed g-monotone property
• ψ-α-β contraction
• homotopy theory