Common fixed point theorems for compatible and weakly compatible maps in Menger probabilistic G-metric spaces
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Authors
Xiaohuan Mu
- Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.
Chuanxi Zhu
- Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.
Zhaoqi Wu
- Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.
Abstract
In this paper, we prove some new common fixed point theorems for compatible and weakly compatible
self-maps under \(\phi\)-contractive conditions in Menger probabilistic G-metric spaces. Our results improve and
generalize many comparable results in existing literature. Finally, an example is given as an application of
our main results.
Share and Cite
ISRP Style
Xiaohuan Mu, Chuanxi Zhu, Zhaoqi Wu, Common fixed point theorems for compatible and weakly compatible maps in Menger probabilistic G-metric spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 3, 920--932
AMA Style
Mu Xiaohuan, Zhu Chuanxi, Wu Zhaoqi, Common fixed point theorems for compatible and weakly compatible maps in Menger probabilistic G-metric spaces. J. Nonlinear Sci. Appl. (2016); 9(3):920--932
Chicago/Turabian Style
Mu, Xiaohuan, Zhu, Chuanxi, Wu, Zhaoqi. "Common fixed point theorems for compatible and weakly compatible maps in Menger probabilistic G-metric spaces." Journal of Nonlinear Sciences and Applications, 9, no. 3 (2016): 920--932
Keywords
- Menger probabilistic G-metric space
- common fixed point
- compatible maps
- weakly compatible maps.
MSC
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