Stability of the Generalized Quadratic and Quartic Type Functional Equation in Non-archimedean Fuzzy Normed Spaces∗

نویسندگان

  • Zhihua Wang
  • Prasanna K. Sahoo
  • P. K. Sahoo
چکیده

In this paper, we prove some stability results concerning the generalized quadratic and quartic type functional equation in the context of nonArchimedean fuzzy normed spaces in the spirit of Hyers-Ulam-Rassias. As applications, we establish some results of approximately generalized quadratic and quartic type mapping in non-Archimedean normed spaces. Also, we show that the assumption of the non-Archimedean absolute value of 2 is less than 1 cannot be omitted in our corollaries. The results improve and extend some recent results.

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تاریخ انتشار 2016