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Some Further Generalizations of the Hyers–Ulam–Rassias Stability of Functional Equations

✍ Scribed by Wang Jian

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 130 KB
Volume: 263
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7587

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✦ Synopsis

In this paper we study the Hyers᎐Ulam᎐Rassias stability theory by considering the cases where the approximate remainder is defined by

Ž .

Ž . where G, ) is a certain kind of algebraic system, E is a real or complex Hausdorff topological vector space, and f, g, h are mappings from G into E. We prove theorems for the Hyers᎐Ulam᎐Rassias stability of the above three kinds of functional equations and obtain the corresponding error formulas. ᮊ 2001 Aca- demic Press

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