Common fixed point of noncommuting almost contraction mapping in cone b-metric spaces

Abstract

Vasile Berinde [9] obtained the existence and uniqueness of coincidence and common fixed points of non-commuting almost contractions in cone metric spaces. Inspired and motivated by the main result of Berinde [9], in this research we have studied the existence and uniqueness of coincidence points and common fixed points of a class of almost contraction maps in complete cone b-metric space. In this research, we followed Numerical and Analytical design. The secondary data were collected from relevant source of information and the techniques of Huang and Xu [15], Shi and Xu [24] and Berinde [9] were used to achieve the objective of the study. Finally, we have also provided examples in support of our main results.