Fixed point theorems on a quaternion-valued G-metric spaces

Document Type : Original Article

Authors

Department of Mathematics, University of Lagos, Nigeria.

Abstract

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.

Keywords

References

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Communications in Nonlinear Analysis
Volume 7, Issue 1
October 2019
Pages 73-81

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