# New multipled common fixed point theorems in Menger PMT-spaces

Volume 10, Issue 2, pp 419--428
Publication Date: February 20, 2017 Submission Date: August 31, 2016
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### 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.

### Keywords

• Multipled common fixed point
• Menger PMT-spaces
• $\psi$-contractive mapping.

•  47H10
•  46S10

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