Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 356, Issue 1, Pages 302-309Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2009.03.005
Keywords
Generalized Hyers-Ulam stability; Quasi-beta-normed spaces; (beta, p)-Banach spaces; Contractively subadditive; Expansively superadditive
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Funding
- National Research Foundation of Korea [핵06B2708, 2008-431-C00002] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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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. The first author of this paper investigated the Hyers-Ulam stability of Cauchy and Jensen type additive mappings. In this paper we generalize results obtained for Jensen type mappings and establish new theorems about the Hyers-Ulam stability for general additive functional equations ill quasi-beta-normed spaces. (C) 2009 Elsevier Inc. All rights reserved.
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