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A common fixed point theorem in a fuzzy metric space. (English) Zbl 0926.54005
Summary: The author proves a common fixed point theorem for a sequence of mappings in a fuzzy metric space. This result offers a generalization of M. Grabiec’s theorem [ibid. 27, No. 3, 385-389 (1988; Zbl 0664.54032)].

54A40 Fuzzy topology
54H25 Fixed-point and coincidence theorems (topological aspects)
Full Text: DOI
[1] George, A.; Veeramani, P., On some results in fuzzy metric spaces, Fuzzy sets and systems, 64, 395-399, (1994) · Zbl 0843.54014
[2] Grebiec, M., Fixed points in fuzzy metric spaces, Fuzzy sets and systems, 27, 385-389, (1988)
[3] Kramosil, O.; Michalek, J., Fuzzy metric and statistical metric spaces, Kybernetica, 11, 326-334, (1975)
[4] Schweizer, B.; Sklar, A., Statistical metric spaces, Pacific J. math., 10, 314-334, (1960) · Zbl 0091.29801
[5] Zadeh, L.A., Fuzzy sets, Inform. and control, 89, 338-353, (1965) · Zbl 0139.24606
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