New multipled common fixed point theorems in Menger PMT-spaces

Ji, Cuiru¹ ; Zhu, Chuanxi¹ ; Wu, Zhaoqi¹

¹ Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China

Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 2, p. 419-428.

Résumé

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.

Détail

DOI : 10.22436/jnsa.010.02.08

Classification : 47H10, 46S10
Keywords: Multipled common fixed point, Menger PMT-spaces, \(\psi\)-contractive mapping.

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