%0 Journal Article
%T Fixed point theorems on a quaternion-valued G-metric spaces
%J Communications in Nonlinear Analysis
%I RGNAA Publishing
%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 http://www.cna-journal.com/article_93096_22894c30e6ddb9d1474a8f4bd5148c4a.pdf