Fuzzy fixed point theorems for multivalued fuzzy contractions in b-metric spaces
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Publication Details
Author list: Phiangsungnoen S., Kumam P.
Publication year: 2015
Journal: Journal of Nonlinear Science and Applications (2008-1898)
Volume number: 8
Issue number: 1
Start page: 55
End page: 63
Number of pages: 9
ISSN: 2008-1898
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we introduce the new concept of multivalued fuzzy contraction mappings in b-metric spaces and establish the existence of α-fuzzy fixed point theorems in b-metric spaces which can be utilized to derive Nadler's fixed point theorem in the framework of b-metric spaces. Moreover, we provide examples to support our main result. © 2015 All rights reserved.
Keywords
B-metric spaces, Fuzzy fixed point, Fuzzy mappings, Fuzzy set