RGNAA PublishingCommunications in Nonlinear Analysis2371-79207120191001Fixed point theorems on a quaternion-valued G-metric spaces738193096ENAdewaleKayodeDepartment of Mathematics, University of Lagos, Nigeria.JohnsonOlaleruDepartment of Mathematics, University of Lagos, Nigeria.HudsonAkeweDepartment of Mathematics, University of Lagos, Nigeria.Journal Article20190818In 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.http://www.cna-journal.com/article_93096_22894c30e6ddb9d1474a8f4bd5148c4a.pdf