Fuzzy approximately additive mappings

نویسندگان

  • H. Khodaei Department of Mathematics, Semnan University P. O. Box 35195-363, Semnan, Iran.
  • M. Kamyar Department of Mathematics, Semnan University P. O. Box 35195-363, Semnan, Iran.
چکیده مقاله:

Moslehian  and Mirmostafaee, investigated the fuzzystability problems for the Cauchy additive functional equation, the Jensen additivefunctional equation and the cubic functional equation in fuzzyBanach spaces. In this paper, we investigate thegeneralized Hyers–-Ulam--Rassias stability of the generalizedadditive functional equation with $n$--variables, in fuzzy Banachspaces. Also, we will show that there exists a close relationshipbetween the fuzzy continuity behavior of a fuzzy almost additivefunction, control function and the unique additive function whichapproximate the almost additive function.

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fuzzy approximately additive mappings

moslehian  and mirmostafaee, investigated the fuzzystability problems for the cauchy additive functional equation, the jensen additivefunctional equation and the cubic functional equation in fuzzybanach spaces. in this paper, we investigate thegeneralized hyers–-ulam--rassias stability of the generalizedadditive functional equation with $n$--variables, in fuzzy banachspaces. also, we will show ...

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عنوان ژورنال

دوره 1  شماره 2

صفحات  44- 53

تاریخ انتشار 2010-06-01

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