On common fixed points and multipled fixed points of contractive mappings in metric-type spaces

Abstract

This research work entails the study of the existence of common fixed points of some Ciric classes of contractive mappings in cone $b$-metric spaces. The main result obtained unifies, improves and generalizes several results in literature including those of Abbas et al. (2010) and Huang and Xu (2012). Furthermore, as a way of applications, the result is used to discuss common coupled, tripled and multipled fixed points of contractive maps defined on cone $b$-metric spaces, via product cone $b$-metric spaces.