Menger probabilistic G-metric-like space and fixed point theorems
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Authors
Yanxia Lu
- Department of Mathematics and physics, North China Electric Power University, Baoding 071003, China.
Xiaoying Gong
- Department of Mathematics and Sciences, Shijiazhuang University of Economics, Shijiazhuang 050031, China.
Xiaomin Xu
- School of Economics and Management, North China Electric Power University, Beijing 102206, China.
Abstract
In this paper, we first introduce a concept called Menger probabilistic G-metric-like space which is a
generalization of Menger probabilistic metric-like space of Hierro and Sen. Some fixed point theorems for
various kinds of contractions in framework of this space are given. Our results extend some recent ones of
Zhou et al., Hua et al. and Alsulami et al.. Finally, an example is given to illustrate the main result of this
paper.
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ISRP Style
Yanxia Lu, Xiaoying Gong, Xiaomin Xu, Menger probabilistic G-metric-like space and fixed point theorems, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4263--4276
AMA Style
Lu Yanxia, Gong Xiaoying, Xu Xiaomin, Menger probabilistic G-metric-like space and fixed point theorems. J. Nonlinear Sci. Appl. (2016); 9(6):4263--4276
Chicago/Turabian Style
Lu, Yanxia, Gong, Xiaoying, Xu, Xiaomin. "Menger probabilistic G-metric-like space and fixed point theorems." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4263--4276
Keywords
- Menger space
- fixed point
- \(\varphi\)-contraction
- metric-like space.
MSC
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