TY - JOUR ID - 93096 TI - Fixed point theorems on a quaternion-valued G-metric spaces JO - Communications in Nonlinear Analysis JA - CNA LA - en SN - AU - Kayode, Adewale AU - Olaleru, Johnson AU - Akewe, Hudson AD - Department of Mathematics, University of Lagos, Nigeria. Y1 - 2019 PY - 2019 VL - 7 IS - 1 SP - 73 EP - 81 KW - G-metric spaces KW - G^Q-metric spaces KW - Quaternion KW - fixed point DO - N2 - 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. UR - https://www.cna-journal.com/article_93096.html L1 - https://www.cna-journal.com/article_93096_22894c30e6ddb9d1474a8f4bd5148c4a.pdf ER -