Stability of a Quadratic Functional Equation in Intuitionistic Fuzzy Normed Spaces

نویسندگان

  • Jae-Hyeong Bae
  • Won-Gil Park
چکیده

In this paper, we determine some stability results concerning the 2-dimensional vector variable quadratic functional equation f(x+ y, z + w) + f(x − y, z − w) = 2f(x, z) + 2f(y, w) in intuitionistic fuzzy normed spaces (IFNS). We define the intuitionistic fuzzy continuity of the 2-dimensional vector variable quadratic mappings and prove that the existence of a solution for any approximately 2-dimensional vector variable quadratic mapping implies the completeness of IFNS.

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تاریخ انتشار 2011