Fixed points and the random stability of a mixed type cubic, quadratic and additive functional equation
- Title
- Fixed points and the random stability of a mixed type cubic, quadratic and additive functional equation
- Author
- 박춘길
- Keywords
- Fixed point method; Random normed spaces; Hyers-Ulam stability; Mixed type functional equation
- Issue Date
- 2013-05
- Publisher
- SPRINGER/PLENUM PUBLISHERS
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v. 15, no.4, Page. 612-621
- Abstract
- Mihet and Radu, investigated the random Stability problems for the Cauchy functional equation and the Jensen functional equation via fixed point method. In this paper, we prove the Hyers-Ulam stability of a mixed type cubic, quadratic and additive functional equation f (x + ky) + f (x - ky) = k(2)f (x + y) + k(2)f (x - y) + 2(1 - k(2))f(x) for a fixed integer k with k not equal +/- 1 in random normed spaces via fixed point method.
- URI
- http://hdl.handle.net/20.500.11754/53542http://www.eudoxuspress.com/244/JOCAAA-VOL-15-2013.pdf
- ISSN
- 1521-1398; 1572-9206
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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