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A Generalization of the Hyers–Ulam–Rassias Stability of the Pexider Equation

✍ Scribed by Yang-Hi Lee; Kil-Woung Jun

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
95 KB
Volume
246
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper we prove a generalization of the stability of the Pexider equa-Ž . Ž . Ž . tion f x q y s g x q h y in the spirit of Hyers, Ulam, Rassias, and Gavruta.

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✍ Wang Jian 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 130 KB

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