Common fixed point theorems under strict contractive conditions in Menger probabilistic G-metric spaces

Volume 8, Issue 6, pp 1176--1189 http://dx.doi.org/10.22436/jnsa.008.06.26

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Authors

Qiang Tu - 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 paper, a new concept of the property \(G^*-(E:A)\) in Menger PGM-spaces is introduced. Based on this, some common fixed point theorems under strict contractive conditions for mappings satisfying the property \(G^*-(E:A)\) in Menger PGM-spaces and the corresponding results in G-metric spaces are obtained. Finally, an example is given to exemplify our main results.

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Keywords

• Common fixed point
• Menger PGM-space
• contraction
• property \(G^*-(E:A)\)
• weakly compatible mappings.

MSC

•  47H10
•  46S10

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