학술저널
HYERS{ULAM STABILITY OF FUNCTIONAL INEQUALITIES ASSOCIATED WITH CAUCHY MAPPINGS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 20, No. 4
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2007.12503 - 514 (12 pages)
- 0
In this paper, we investigate the generalized Hyers{Ulam stability of the functional inequality kaf(x) + bf(y) + cf(z)k · kf(ax + by + cz))k + Á(x; y; z)associated with Cauchy additive mappings. As a result, we obtain that if a mapping satis¯es the functional inequality with perturbing term which satis¯es certain conditions then there exists a Cauchy additive mapping near the mapping.
1. Introduction
2. Main results
References
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