Open AccessFixed point theorems for weakly compatible mappings under implicit relations in quaternion valued $G$-metric spaces
Author(s) -
Mohamed Gamal,
Watcharaporn Cholamjiak
Publication year - 2020
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021125
Subject(s) - quaternion , mathematics , metric space , pure mathematics , metric (unit) , fixed point theorem , space (punctuation) , point (geometry) , fixed point , discrete mathematics , mathematical analysis , computer science , geometry , engineering , operations management , operating system
In this paper, we established some common fixed point theorems of four self-mappings in completed quaternion valued $G-$metric space. Moreover, we gave an example of completed quaternion valued $G-$metric space and example for supporting our main results. The results obtained in this paper extend and improve some recent results.