A New Common Fixed Point Theorem for Three Commuting Mappings

Abstract

In the present paper, we propose a common fixed point theorem for three commuting mappings via a new contractive condition which generalizes fixed point theorems of Darbo, Hajji and Aghajani et al. An application is also given to illustrate our main result. Moreover, several consequences are derived, which are generalizations of Darbo’s fixed point theorem and a Hajji’s result.

Keywords

• common fixed point
• measure of noncompactness
• Darbo’s fixed point theorem