Quadruple fixed point theorems under (\(\varphi,\psi\))-contractive conditions in partially ordered \(G\)-metric spaces with mixed \(g\)-monotone property

Volume 8, Issue 4, pp 285--300 http://dx.doi.org/10.22436/jnsa.008.04.01

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Authors

Jianhua Chen - Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China. Xianjiu Huang - Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.

Abstract

In this paper, we prove some quadruple coincidence and quadruple fixed point theorems for (\(\varphi,\psi\))-contractive type mappings in partially ordered G-metric spaces with mixed g-monotone property. The results on fixed point theorems are generalizations of some results obtained by Mustafa [Z. Mustafa, Fixed Point Theory Appl., 2012 (2012), 22 pages]. We also give an example to support our results.

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Keywords

• partially ordered set
• quadruple coincidence
• quadruple fixed point
• G-metric space
• mixed g-monotone property.

MSC

•  47H10
•  54H25

References

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