Stability of the Pexiderized Lobacevski Equation

نویسنده

  • Gwang Hui Kim
چکیده

The stability problem of the functional equation was conjectured by Ulam 1 during the conference in the University of Wisconsin in 1940. In the next year, it was solved by Hyers 2 in the case of additive mapping, which is called the Hyers-Ulam stability. Thereafter, this problem was improved by Bourgin 3 , Aoki 4 , Rassias 5 , Ger 6 , and Gǎvruţa et al. 7, 8 in which Rassias’ result is called the Hyers-Ulam-Rassias stability. In 1979, Baker et al. 9 developed the superstability, which is that if f is a function from a vector space to R satisfying

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عنوان ژورنال:
  • J. Applied Mathematics

دوره 2011  شماره 

صفحات  -

تاریخ انتشار 2011