학술저널
A FIXED POINT APPROACH TO THE STABILITY OF QUINTIC MAPPINGS IN QUASI ¯-NORMED SPACES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 26, No. 4
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2013.11757 - 767 (11 pages)
- 2
We investigate the general solution of the following functional equation and the generalized Hyers-Ulam-Rassias sta- bility problem in quasi ¯-normed spaces and then the stability by using alternative ¯xed point method for the following quintic func- tion f : X ! Y such that f(3x + y) + f(3x ¡ y) + 5[f(x + y) + f(x ¡ y)]= 4[f(2x + y) + f(2x ¡ y)] + 2f(3x) ¡ 246f(x) ; for all x; y 2 X
1. Introduction
2. Quintic functional equations
3. Stabilities
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