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doi:10.1016/j.fss.2005.06.019 
Copyright © 2005 Elsevier B.V. All rights reserved.
On fixed degree theorems for fuzzy mappings in Menger PM-spaces
Jin-xuan Fang
Received 18 September 2004;
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Abstract
In this paper, we establish a new common fixed degree theorem for a sequence of fuzzy mappings in Menger PM-spaces. As an immediate consequence of this theorem, we obtain an improvement of a corresponding result of Chang et al. (Fuzzy Sets and Systems 87 (1997) 325–334). In addition, we also obtain some fixed degree and fixed point theorems for fuzzy mappings in fuzzy metric spaces. Our results unify and generalize the results of Heilpern (J. Math. Anal. Appl. 83 (1981) 566–569), Butnariu (Fuzzy Sets and Systems 7 (1982) 191–207), Hadžíc (Fuzzy Sets and Systems 29 (1989) 115–125), Fang (Fuzzy Sets and Systems 48 (1992) 391–395), Lee et al. (Fuzzy Sets and Systems 61 (1994) 309–312; J. Fuzzy Math. 2 (1994) 859–870) and Chang et al. (Math. Japon. 40 (1994) 289–293; Fuzzy Sets and Systems 87 (1997) 325–334).
Keywords: Menger PM-spaces; t-Norm of h-type; Fuzzy sets; Fixed degree for a fuzzy mapping; Common fixed degree for a sequence of fuzzy mappings
