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Related fixed point theorems for two pairs of mappings on two fuzzy metric spaces. (English) Zbl 1129.54025
From the authors’ abstract: Two related fixed point theorems for two pairs of mappings on two fuzzy metric spaces are proved. These results extend the result of B. Fisher and P. P. Murthy [Kyungpook Math. J. 37, No. 2, 343–347 (1997; Zbl 0891.54028)] to G-complete fuzzy metric spaces.
Reviewer’ s comments: 1) The condition of G-completeness is a strong one, see, e.g., [R. Vasuki and P. Veeramani, Fuzzy Sets Syst. 135, No. 3, 415–417 (2003; Zbl 1029.54012)]. 2) The theorem of Fisher and Murthy [op. cit.] is not a corollary of Theorem 3.1 from the paper under review.
MSC:
54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces
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