Some results for common fixed point on $\varphi$-contractions in k-partially ordered fuzzy metric space

Volume 10, Issue 4, pp 2052--2065 http://dx.doi.org/10.22436/jnsa.010.04.60

Publication Date: April 20, 2017 Submission Date: November 08, 2016

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Authors

Jiaming Jin - 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. Haochen Wu - Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.

Abstract

The notion of coincidence point and common fixed point were extended in generalized partially ordered fuzzy metric spaces. Under some conditions, some coincidence point and common fixed point theorems were established in generalized partially fuzzy metric spaces using weakly compatible mappings. These results improve some theorems in corresponding literature.

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Keywords

• Fuzzy metric space
• weakly compatible mappings
• common fixed point
• k-partially ordered.

MSC

•  54A40
•  54H25

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