A common fixed point theorem for a pair of mappings in cone b-heptagonal metric spaces

Abstract

In this research work we establish a common fixed point result in cone b-heptagonal metric spaces and proved the existence and uniqueness of a common fixed point for a pair of self-mappings involving certain contractive type conditions in cone b-heptagonal metric spaces setting without assuming the normality condition of cone. Our result extends and generalizes the recent results announced by (Auwalu and Denker, 2017). In this research undertaking, we followed analytical study design and used secondary sources of data, such as published articles and related books. The analysis techniques which we adopted for the successful completion of this study were that of (Auwalu and Denker, 2017). Finally, we provide an example in support of our main findings.