Title of article :
Menger probabilistic G-metric-like space and fixed point theorems
Author/Authors :
Lu ، Yanxia - North China Electric Power University , Gong ، Xiaoying - Shijiazhuang University of Economics , Xu ، Xiaomin - North China Electric Power University
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.
Keywords :
Menger space , fixed point , ϕ , contraction , metric , like space
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications