학술저널
ON THE STABILITY OF THE FUNCTIONAL EQUATION DERIVING FROM QUADRATIC AND ADDITIVE FUNCTION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 25, No. 1
-
2012.0251 - 63 (13 pages)
- 2
In this paper, we prove the stability in random normed spaces via ¯xed point method for the functional equation f(2x + y) + f(2x ¡ y) + 2f(x) ¡ f(x + y) ¡ f(x ¡ y) ¡ 2f(2x) = 0:
1. Introduction
2. Preliminaries
3. On the stability of the functional equation deriving from quadratic and additive functions in RN-spaces
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