박춘길
2018-03-29T01:31:23Z
2018-03-29T01:31:23Z
2013-05
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v. 15, no.4, Page. 612-621
1521-1398
1572-9206
http://hdl.handle.net/20.500.11754/53542
http://www.eudoxuspress.com/244/JOCAAA-VOL-15-2013.pdf
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.
C. Park was supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology (NRF-2012R1A1A2004299).
SPRINGER/PLENUM PUBLISHERS
Fixed point method
Random normed spaces
Hyers-Ulam stability
Mixed type functional equation
Fixed points and the random stability of a mixed type cubic, quadratic and additive functional equation
Article
15
612-621
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
Gordji, M. Eshaghi
Ghanifard, Masumeh
Khodaei, Hamid
Park, Choonkil
2011213381
S
COLLEGE OF NATURAL SCIENCES[S]
DEPARTMENT OF MATHEMATICS
baak
F-6998-2017