%0 Journal Article %T Fuzzy fixed point theorems for multivalued fuzzy contractions in \(b\)-metric spaces %A Phiangsungnoen, Supak %A Kumam, Poom %J Journal of Nonlinear Sciences and Applications %D 2015 %V 8 %N 1 %@ ISSN 2008-1901 %F Phiangsungnoen2015 %X 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. %9 journal article %R 10.22436/jnsa.008.01.07 %U http://dx.doi.org/10.22436/jnsa.008.01.07 %P 55--63