Singh, Bijendra; Chauhan, M. S. Common fixed points of compatible maps in fuzzy metric spaces. (English) Zbl 0985.54009 Fuzzy Sets Syst. 115, No. 3, 471-475 (2000). Several researchers have defined the concept of fuzzy metric space in various ways. In this paper, the authors introduce the concept of compatibility on fuzzy metric space (in the sense of a definition given in [A. George and the reviewer, ibid. 64, No. 3, 395-399 (1994; Zbl 0843.54014)] and use it to prove common fixed point theorems for compatible mappings. It should be noted that the authors prove two common fixed point theorems for a fuzzy metric space having continuous \(t\)-norm defined by \(a^*b= \min\{a,b\}\), \(a,b\in [0,1]\). The authors do not discuss their results for an arbitrary continuous \(t\)-norm. It is of worth to investigate whether the fixed point theorems proved in this paper are true for arbitrary \(t\)-norms. Reviewer: P.Veeramani (Chennai) Cited in 8 ReviewsCited in 22 Documents MSC: 54A40 Fuzzy topology 54H25 Fixed-point and coincidence theorems (topological aspects) Citations:Zbl 0843.54014 PDFBibTeX XMLCite \textit{B. Singh} and \textit{M. S. Chauhan}, Fuzzy Sets Syst. 115, No. 3, 471--475 (2000; Zbl 0985.54009) Full Text: DOI References: [1] George, A.; Veeramani, P., On some results in fuzzy metric spaces, Fuzzy Sets and Systems, 64, 395-399 (1994) · Zbl 0843.54014 [2] Jungck, G., Compatible mappings and common fixed points, Internat. J. Math. Math. Sci., 9, 779-791 (1986) · Zbl 0613.54029 [3] Jungck, G., Compatible mappings and common fixed point (2), Internat. J. Math. Math. Sci., 11, 2, 285-288 (1988) · Zbl 0647.54035 [4] Kramosil, O.; Michalek, J., Fuzzy metric and statistical metric spaces, Kybernetica, 11, 326-334 (1975) [5] Zadeh, L. A., Fuzzy sets, Inform. and Control, 8, 338-353 (1965) · Zbl 0139.24606 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.