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

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  • Adewale Kayode,
  • Johnson Olaleru,
  • Hudson Akewe,

Published in Issue 2025-11-09

How to Cite

Fixed point theorems on a quaternion-valued G-metric spaces. (2025). Communications in Nonlinear Analysis, 7(1). https://oiccpress.com/cna/article/view/17929

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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

  • G-metric spaces,
  • G^Q-metric spaces,
  • quaternion,
  • fixed point
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References

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