Abstract
In this paper, we establish certain recent results of Miculescu and Mihail [J. Fixed Point Theory Appl. 19, 2153-2163 (2017)] and of Suzuki [J. Inequal. Appl. 2017, 256, 11 p.] in cone b-metric spaces over Banach algebra. Also, we prove Reich contraction theorem in such spaces. Our results generalize, improve and complement several ones in the existing literature.