Generalized Hyers-Ulam stability of mappings on normed Lie triple systems
نویسندگان
چکیده
منابع مشابه
Hyers-Ulam-Rassias stability of generalized derivations
One of the interesting questions in the theory of functional equations concerning the problem of the stability of functional equations is as follows: when is it true that a mapping satisfying a functional equation approximately must be close to an exact solution of the given functional equation? The first stability problem was raised by Ulam during his talk at the University of Wisconsin in 194...
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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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and Applied Analysis 3 where the function f z is analytic in simply connected region of the complex z-plane C containing the origin, and the multiplicity of z − ζ −α is removed by requiring log z − ζ to be real when z − ζ > 0. Definition 2.2. The fractional integral of order α > 0 is defined, for a function f z , by
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2008
ISSN: 1331-4343
DOI: 10.7153/mia-11-28