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 - http://www.cna-journal.com/article_93096.html
L1 - http://www.cna-journal.com/article_93096_22894c30e6ddb9d1474a8f4bd5148c4a.pdf
ER -