학술저널
ON THE STABILITY OF AN ADDITIVE SET-VALUED FUNCTIONAL EQUATION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 27, No. 3
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2014.08456 - 467 (12 pages)
- 2
In this paper, we consider the additive set-valued func-tional equation nf(Pni=1 xi) =Pni=1 f(xi) ©P1·i<j·n f(xi + xj) where n ¸ 2 is an integer, and prove the Hyers-Ulam stability of the functional equation.
1. Introduction
2. Stability of the set-valued functional equation
3. Stability of the additive set-valued functional equation by¯xed point method
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