%0 Journal Article %T Fixed point theorems on a quaternion-valued G-metric spaces %J Communications in Nonlinear Analysis %I Research & Science Group Ltd. %Z 2371-7920 %A Kayode, Adewale %A Olaleru, Johnson %A Akewe, Hudson %D 2019 %\ 10/01/2019 %V 7 %N 1 %P 73-81 %! Fixed point theorems on a quaternion-valued G-metric spaces %K G-metric spaces %K G^Q-metric spaces %K Quaternion %K fixed point %R %X In this paper, we introduce the concept of a quaternion-valued $G$-metric spaces which generalize real-valued $G$-metric spaces, complex-valued $G$-metric spaces, real-valued metric spaces and complex-valued metric spaces known in the literature. Analogous the Banach contraction principle, Kannan's and Chatterjea's fixed point theorem are proved. Our results generalize many known results in fixed point theory. %U https://www.cna-journal.com/article_93096_22894c30e6ddb9d1474a8f4bd5148c4a.pdf