Erratum to: " On fixed point theorems of Gregori and Sapena" [Fuzzy Sets and Systems 144 (2004) 421-429]

نویسندگان

  • Abdolrahman Razani
  • Maryam Shirdaryazdi
چکیده

holds (but which implies that the space is actually a Menger space). Z̆ikić [2] extended the existence part of their theorem showing that it is enough to consider the case of special sequence tn = 1/ n and that (1) holds for some x = x0 and y = f (x0). The error in her main theorem (and in all consequences) concerns the statement that, under the same conditions, also the uniqueness of fixed point holds. This error can be corrected by supposing that the fuzzy metric space is a Menger space, thus ensuring this uniqueness. Namely, in general case the uniqueness does not hold. Here is an example to clear this case.

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عنوان ژورنال:
  • Fuzzy Sets and Systems

دوره 153  شماره 

صفحات  -

تاریخ انتشار 2005