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Existence theorems for fixed fuzzy points with closed $$\alpha$$-cut sets in complete metric spaces. (English) Zbl 1207.54055
Summary: 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.

##### MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 03E72 Theory of fuzzy sets, etc.
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