an:01915169
Zbl 1020.54009
Song, Guangxing
Comments on `A common fixed point theorem in a fuzzy metric space'
EN
Fuzzy Sets Syst. 135, No. 3, 409-413 (2003).
00094598
2003
j
54A40 54H25 54E35
fuzzy metric space; contraction mapping; fixed point; Cauchy sequence
\textit{M. Grabiec} [ibid. 27, 385-389 (1988; Zbl 0664.54032)] proved a fuzzy Banach contraction theorem and \textit{R. Vasuki} [ibid. 97, 395-397 (1998; Zbl 0926.54005)] generalized the results to a common fixed point theorem for a sequence of mappings in a fuzzy metric space.
The author points out some errors in the papers above; he claims that some conditions are indequate and the proofs are false.
Zbl 0664.54032; Zbl 0926.54005