Common coupled fixed point results for probabilistic \(\varphi\)-contractions in Menger PGM-spaces


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

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
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


MSC


References