A Generalized Banach Fixed Point Theorem

Abstract

© 2015, Malaysian Mathematical Sciences Society and Universiti Sains Malaysia. Motivated by the recent work of Liu and Xu, we prove a generalized Banach fixed point theorem for the setting of cone rectangular Banach algebra valued metric spaces without assuming the normality of the underlying cone. Our work generalizes some recent results into cone rectangular Banach algebra valued metric spaces. An example to illustrate the main result is also presented.