This paper introduces some coincidence and common fixed point theorems for three mappings under a new contractive condition in cone b-metric spaces. It demonstrates the uniqueness of common fixed points for pairs of weakly compatible mappings in cone b-metric spaces. Our findings extend the work of Malhotra et al. [19], who explored coincidence and common fixed point theorems in cone metric spaces. Additionally, these new results generalize numerous recent findings in metric spaces, b-metric spaces, and cone metric spaces.