Common α-fuzzy fixed point theorems for fuzzy mappings via βF-admissible pair
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Author list: Phiangsungnoen S., Sintunavarat W., Kumam P.
Publisher: IOS Press
Publication year: 2014
Journal: Journal of Intelligent and Fuzzy Systems (1064-1246)
Volume number: 27
Issue number: 5
Start page: 2463
End page: 2472
Number of pages: 10
ISSN: 1064-1246
Languages: English-Great Britain (EN-GB)
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Abstract
The object of this paper is to extend the concept of β-admissible for multivalued mappings due to Mohammadi et al. [B. Mohammadi, S. Rezapour and N. Shahzad, Some results on fixed points of α-ψ-Ciric generalized multifunctions, Fixed Point Theory and Applications 2013 (2013), 24] to fuzzy mappings and utilize this concept to prove a common α-fuzzy fixed point theorem for a pair of fuzzy mappings. We also give illustrative example which demonstrate the validity of the hypotheses of our results. Some related results to common fixed point for multivalued mappings are also derived from the main result. © 2014 - IOS Press and the authors.
Keywords
βF-admissible
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