Common fixed point theorems under strict contractive conditions in Menger probabilistic G-metric spaces
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Authors
Qiang Tu
- 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, a new concept of the property \(G^*-(E:A)\) in Menger PGM-spaces is introduced. Based on this,
some common fixed point theorems under strict contractive conditions for mappings satisfying the property
\(G^*-(E:A)\) in Menger PGM-spaces and the corresponding results in G-metric spaces are obtained. Finally,
an example is given to exemplify our main results.
Share and Cite
ISRP Style
Qiang Tu, Chuanxi Zhu, Zhaoqi Wu, Common fixed point theorems under strict contractive conditions in Menger probabilistic G-metric spaces, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 6, 1176--1189
AMA Style
Tu Qiang, Zhu Chuanxi, Wu Zhaoqi, Common fixed point theorems under strict contractive conditions in Menger probabilistic G-metric spaces. J. Nonlinear Sci. Appl. (2015); 8(6):1176--1189
Chicago/Turabian Style
Tu, Qiang, Zhu, Chuanxi, Wu, Zhaoqi. "Common fixed point theorems under strict contractive conditions in Menger probabilistic G-metric spaces." Journal of Nonlinear Sciences and Applications, 8, no. 6 (2015): 1176--1189
Keywords
- Common fixed point
- Menger PGM-space
- contraction
- property \(G^*-(E:A)\)
- weakly compatible mappings.
MSC
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