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 Existence theorems for fixed fuzzy points with closed $\alpha$-cut sets in complete metric spaces Commun. Korean Math. Soc. 2011 Vol. 26, No. 1, 115-124 https://doi.org/10.4134/CKMS.2011.26.1.115Published online March 1, 2011 Yeol Je Cho and Narin Petrot Gyeongsang National University, Naresuan University Abstract : In this paper, some fuzzy fixed point theorems for fuzzy mappings are established by considering the nonempty closed $\alpha$-cut sets. Some importance observations are also discussed. Our results clearly extend, generalize and improve the corresponding results in the literatures, which have given most of their attention to the class of fuzzy sets with nonempty compact or closed and bounded $\alpha$-cut sets. Keywords : fuzzy point, fixed fuzzy point, fuzzy mapping, $\alpha$-cut set, orbit lower-semi continuous MSC numbers : 47H10, 54H25 Downloads: Full-text PDF