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2013 Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying ϕ -Contractive Condition with Common Limit Range Property
Sunny Chauhan, M. Alamgir Khan, Wutiphol Sintunavarat
Abstr. Appl. Anal. 2013(SI09): 1-14 (2013). DOI: 10.1155/2013/735217

Abstract

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).

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Sunny Chauhan. M. Alamgir Khan. Wutiphol Sintunavarat. "Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying ϕ -Contractive Condition with Common Limit Range Property." Abstr. Appl. Anal. 2013 (SI09) 1 - 14, 2013. https://doi.org/10.1155/2013/735217

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095301
MathSciNet: MR3096820
Digital Object Identifier: 10.1155/2013/735217

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI09 • 2013
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