Closability of Farthest Point Maps in Fuzzy Normed Spaces (dedicated in Occasion of the 70-years of Professor

نویسندگان

  • HARI M. SRIVASTAVA
  • ALIREZA KAMEL MIRMOSTAFAEE
  • MAJID MIRZAVAZIRI
چکیده

Let (X,N) be a fuzzy normed space. For each 0 < < 1 and a non-empty subset A of X, we define a natural notion for -farthest points from A and a set-valued map x 7→ Q (A, x), called the fuzzy -farthest point map. Then we will investigate basic properties of the fuzzy -farthest point mapping. In particular, we show that the fuzzy -farthest point map is closable.

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تاریخ انتشار 2010