Fuzzy fixed point theorems for multivalued fuzzy contractions in \(b\)-metric spaces


Authors

Supak Phiangsungnoen - Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi, Bang Mod, Thrung Kru, Bangkok 10140, Thailand. - Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand. Poom Kumam - Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi, Bang Mod, Thrung Kru, Bangkok 10140, Thailand. - Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand.


Abstract

In this paper, we introduce the new concept of multivalued fuzzy contraction mappings in \(b\)-metric spaces and establish the existence of \(\alpha\)-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.


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ISRP Style

Supak Phiangsungnoen, Poom Kumam, Fuzzy fixed point theorems for multivalued fuzzy contractions in \(b\)-metric spaces, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 1, 55--63

AMA Style

Phiangsungnoen Supak, Kumam Poom, Fuzzy fixed point theorems for multivalued fuzzy contractions in \(b\)-metric spaces. J. Nonlinear Sci. Appl. (2015); 8(1):55--63

Chicago/Turabian Style

Phiangsungnoen, Supak, Kumam, Poom. "Fuzzy fixed point theorems for multivalued fuzzy contractions in \(b\)-metric spaces." Journal of Nonlinear Sciences and Applications, 8, no. 1 (2015): 55--63


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