A fixed point approach to the stability of an AQCQ-functional equation in RN-spaces

  • Park, Choonkil
  • Shin, Dong Yun
  • Lee, Sungjin
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초록

Using the fixed point method, we prove the Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f (x + 2y) + f (x - 2y) = 4f (x + y) + 4f (x - y) - 6f (x) + f (2y) + f (-2y) - 4f (y) - 4f (-y) in random normed spaces.

키워드

Random normed spacefixed pointHyers-Ulam stabilityadditive-quadratic-cubic-quartic functional equationULAM-RASSIAS STABILITYFUZZY STABILITY
제목
A fixed point approach to the stability of an AQCQ-functional equation in RN-spaces
저자
Park, ChoonkilShin, Dong YunLee, Sungjin
DOI
10.22436/jnsa.009.04.34
발행일
2016-00
유형
Article
저널명
Journal of Nonlinear Science and Applications
9
4
페이지
1787 ~ 1806