Common coupled fixed point results for probabilistic \(\varphi\)-contractions in Menger PGM-spaces
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Authors
Chuanxi Zhu
- Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.
Xiaohuan Mu
- Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.
Zhaoqi Wu
- Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.
Abstract
We consider several hybrid probabilistic contractions with a gauge function \(\varphi\). Without any continuity
or monotonicity conditions for \(\varphi\), we obtain some new common coupled fixed point theorems in Menger
PGM-spaces. Finally, an example is given to illustrate our main results.
Share and Cite
ISRP Style
Chuanxi Zhu, Xiaohuan Mu, Zhaoqi Wu, Common coupled fixed point results for probabilistic \(\varphi\)-contractions in Menger PGM-spaces, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 6, 1166--1175
AMA Style
Zhu Chuanxi, Mu Xiaohuan, Wu Zhaoqi, Common coupled fixed point results for probabilistic \(\varphi\)-contractions in Menger PGM-spaces. J. Nonlinear Sci. Appl. (2015); 8(6):1166--1175
Chicago/Turabian Style
Zhu, Chuanxi, Mu, Xiaohuan, Wu, Zhaoqi. "Common coupled fixed point results for probabilistic \(\varphi\)-contractions in Menger PGM-spaces." Journal of Nonlinear Sciences and Applications, 8, no. 6 (2015): 1166--1175
Keywords
- Menger PGM-space
- hybrid probabilistic contraction
- gauge function
- coupled fixed point.
MSC
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