Singh, Bijendra; Jain, Shishir Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation. (English) Zbl 1087.54506 Int. J. Math. Math. Sci. 2005, No. 16, 2617-2629 (2005). Summary: The concept of semicompatibility is introduced in fuzzy metric spaces and it is applied to prove results on the existence of unique common fixed points of four self-maps satisfying an implicit relation. Recently, V. Popa has employed a similar but not the same implicit relation to obtain a fixed point theorem for \(d\)-complete topological spaces. All the results of this paper are new. Cited in 4 ReviewsCited in 15 Documents MSC: 54A40 Fuzzy topology 54H25 Fixed-point and coincidence theorems (topological aspects) PDFBibTeX XMLCite \textit{B. Singh} and \textit{S. Jain}, Int. J. Math. Math. Sci. 2005, No. 16, 2617--2629 (2005; Zbl 1087.54506) Full Text: DOI EuDML