eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2022-11-03 10 3 76 79 10.12691/ajams-10-3-2 AJAMS20221032 article R. Hemavathy 1 P. Uma Maheswari umauva2011@gmail.com 2 Department of Mathematics, Queen Mary¡¯s College (Affiliated to University of Madras), Chennai - 600004, Tamilnadu, India Department of Mathematics, Shri Krishnaswamy College for Women (Affiliated to University of Madras), Chennai - 600040, Tamilnadu, India In this paper, we introduce a notion of extended Cone Sb-metric space and prove some fixed point results with various types of contractive conditions. Our results enlarge many results in the literature. http://pubs.sciepub.com/ajams/10/3/2/ajams-10-3-2.pdf cone metric space extended S_b - metric space fixed point