New multipled common fixed point theorems in Menger PMT-spaces


Authors

Cuiru Ji - Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China. Chuanxi Zhu - Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China. Zhaoqi Wu - Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.


Abstract

In this work, we introduce the notion of Menger probabilistic metric type space, on the other hand, we introduce a more general class of auxiliary functions in contractivity condition, following that, we obtain some multipled common fixed point theorems for a pair of mappings \(T:\underbrace{X\times X\times...\times X}_{m-times}\rightarrow X\) and \(A : X \rightarrow X\). As an application, we give out an example to demonstrate the validity of the obtained results.


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