Title of article :
Common coupled fixed point results for probabilistic φ-contractions in Menger PGM-spaces
Author/Authors :
Zhu ، Chuanxi - Nanchang University , Mu ، Xiaohuan - Nanchang University , Wu ، Zhaoqi - Nanchang University
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.
Keywords :
Menger PGM , space , hybrid probabilistic contraction , gauge function , coupled fixed point
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications