New multipled common fixed point theorems in Menger PMT-spaces

Volume 10, Issue 2, pp 419--428 http://dx.doi.org/10.22436/jnsa.010.02.08

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.

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ISRP Style

Cuiru Ji, Chuanxi Zhu, Zhaoqi Wu, New multipled common fixed point theorems in Menger PMT-spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 2, 419--428

AMA Style

Ji Cuiru, Zhu Chuanxi, Wu Zhaoqi, New multipled common fixed point theorems in Menger PMT-spaces. J. Nonlinear Sci. Appl. (2017); 10(2):419--428

Chicago/Turabian Style

Ji, Cuiru, Zhu, Chuanxi, Wu, Zhaoqi. "New multipled common fixed point theorems in Menger PMT-spaces." Journal of Nonlinear Sciences and Applications, 10, no. 2 (2017): 419--428

Keywords

Multipled common fixed point
Menger PMT-spaces
\(\psi\)-contractive mapping.

MSC

47H10
46S10

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