학술저널
REFINED HYERS{ULAM STABILITY FOR JENSEN TYPE MAPPINGS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 22, No. 1
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2009.03101 - 116 (16 pages)
- 0
In 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved the well-known Ulam stability problem for additive mappings subject to the Hyers condition on approximately additive mappings. In this paper we improve results for Jensen type mappings and establish new theorems about the Ulam stability of additive and alternative Jensen type mappings.
1. Introduction
2. Stability of Jensen type mappings
3. Stability of alternative additive mappings
4. Stability of alternative Jensen type mappings
5. Stability of Jensen type mappings in Banach modules
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