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Comment on “Common Fixed Point Theorems for Commutating Mappings in Fuzzy Metric Spaces”
Joint Authors
Chen, Wei
Wang, Sanfu
Shen, Yong-hong
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-19
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In the recent paper “common fixed point theorems for commutating mappings in fuzzy metric spaces,” the authors proved that a common fixed point theorem for commutating mappings in G-complete fuzzy metric spaces and gave an example to illustrate the main result.
In this note, we point out that the above example is incorrect because it does not satisfy the condition of G-completeness, and then two appropriate examples are given.
In addition, we prove that the theorem proposed by Zheng and Lian actually holds in an M-complete fuzzy metric space.
Our results improve and extend some existing results in the relevant literature.
American Psychological Association (APA)
Shen, Yong-hong& Chen, Wei& Wang, Sanfu. 2012. Comment on “Common Fixed Point Theorems for Commutating Mappings in Fuzzy Metric Spaces”. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-449153
Modern Language Association (MLA)
Shen, Yong-hong…[et al.]. Comment on “Common Fixed Point Theorems for Commutating Mappings in Fuzzy Metric Spaces”. Abstract and Applied Analysis No. 2012 (2012), pp.1-7.
https://search.emarefa.net/detail/BIM-449153
American Medical Association (AMA)
Shen, Yong-hong& Chen, Wei& Wang, Sanfu. Comment on “Common Fixed Point Theorems for Commutating Mappings in Fuzzy Metric Spaces”. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-449153
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449153