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Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying ϕ-Contractive Condition with Common Limit Range Property
Joint Authors
Chauhan, Sunny
Khan, M. Alamgir
Sintunavarat, Wutiphol
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-08
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The objective of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed point in fuzzy metric spaces.
Some illustrative examples are furnished which demonstrate the validity of the hypotheses and degree of utility of our results.
We derive a fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings.
As an application to our main result, we prove an integral-type fixed point theorem in fuzzy metric space.
Our results improve and extend a host of previously known results including the ones contained in Imdad et al.
(2012).
American Psychological Association (APA)
Chauhan, Sunny& Khan, M. Alamgir& Sintunavarat, Wutiphol. 2013. Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying ϕ-Contractive Condition with Common Limit Range Property. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-494470
Modern Language Association (MLA)
Chauhan, Sunny…[et al.]. Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying ϕ-Contractive Condition with Common Limit Range Property. Abstract and Applied Analysis No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-494470
American Medical Association (AMA)
Chauhan, Sunny& Khan, M. Alamgir& Sintunavarat, Wutiphol. Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying ϕ-Contractive Condition with Common Limit Range Property. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-494470
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-494470