Common fixed points for generalized contraction and zamfirescu pair of maps in cone b-metric spaces

Abstract

This research dealt with common fixed points for generalized contraction and Zamfirescu pair of maps in cone b-metric spaces. In 2010, Babu et al. [1] established the existence of unique common fixed points for generalized contraction and zamfirescu pair of maps in complete cone metric spaces. Recently, Haung and Xu [9] have proved some fixed point theorems of contraction mappings without the assumption of normality condition in complete cone b-metric space. Motivated by the work of Babu et al. [1], in this work we have extended the main results of them [1 and 9] to cone b-metric spaces and examples in support of our main findings are also provided.