GENERALIZED HYERS-ULAM STABILITY OF CUBIC TYPE FUNCTIONAL EQUATIONS IN NORMED SPACES
نویسندگان
چکیده
منابع مشابه
HYERS-ULAM-RASSIAS STABILITY OF FUNCTIONAL EQUATIONS ON FUZZY NORMED LINER SPACES
In this paper, we use the denition of fuzzy normed spaces givenby Bag and Samanta and the behaviors of solutions of the additive functionalequation are described. The Hyers-Ulam stability problem of this equationis discussed and theorems concerning the Hyers-Ulam-Rassias stability of theequation are proved on fuzzy normed linear space.
متن کاملHyers-Ulam-Rassias stability of a composite functional equation in various normed spaces
In this paper, we prove the generalized Hyers-Ulam(or Hyers-Ulam-Rassias ) stability of the following composite functional equation f(f(x)-f(y))=f(x+y)+f(x-y)-f(x)-f(y) in various normed spaces.
متن کاملhyers-ulam-rassias stability of functional equations on fuzzy normed liner spaces
in this paper, we use the de nition of fuzzy normed spaces givenby bag and samanta and the behaviors of solutions of the additive functionalequation are described. the hyers-ulam stability problem of this equationis discussed and theorems concerning the hyers-ulam-rassias stability of theequation are proved on fuzzy normed linear space.
متن کاملGeneralized Hyers-Ulam Stability of a New Mixed Type Functional Equation in Fuzzy Normed Space
In this paper, we obtain the general solution and investigate the generalized Hyers-Ulam stability of the new generalized mixed type additive and quadratic functional equation in fuzzy normed space. Mathematics Subject Classification 39B55, 39B52, 39B82
متن کاملOn a Generalized Hyers-Ulam Stability of Trigonometric Functional Equations
The Hyers-Ulam stability problems of functional equations go back to 1940 when S. M. Ulam proposed a question concerning the approximate homomorphisms from a group to a metric group see 1 . A partial answer was given by Hyers et al. 2, 3 under the assumption that the target space of the involved mappings is a Banach space. After the result of Hyers, Aoki 4 , and Bourgin 5, 6 dealt with this pro...
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ژورنال
عنوان ژورنال: Journal of the Chungcheong Mathematical Society
سال: 2015
ISSN: 1226-3524
DOI: 10.14403/jcms.2015.28.3.397