Random approximation of a general symmetric equation

نویسندگان

  • C. Park Department of‎ ‎Mathematics‎, ‎Research Institute for Natural Sciences‎, ‎University‎ ‎of Hanyang‎, ‎P.O‎. ‎Box 133-791‎, ‎Seoul‎, ‎Korea
  • H. Rezaei Department of‎ ‎Mathematics‎, ‎University‎ ‎of Yasouj‎, ‎P.O‎. ‎Box 75914-74831‎, ‎Yasouj‎, ‎Iran
چکیده مقاله:

In this paper, we prove the Hyers-Ulam stability of the symmetric functionalequation $f(ph_1(x,y))=ph_2(f(x), f(y))$ in random normed spaces. As a consequence, weobtain some random stability results in the sense of Hyers-Ulam-Rassias.

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random approximation of a general symmetric equation

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عنوان ژورنال

دوره 41  شماره 5

صفحات  1147- 1159

تاریخ انتشار 2015-10-01

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