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Generalized stability of multi-additive mappings

✍ Scribed by Krzysztof Ciepliński

Book ID
104000934
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
238 KB
Volume
23
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this paper we unify the system of Cauchy functional equations defining multi-additive mapping to obtain a single equation and prove the generalized Hyers-Ulam stability both of this system and this equation using the so-called direct method.

📜 SIMILAR VOLUMES

Fixed Points of Generalized Contractive
Fixed Points of Generalized Contractive Multi-valued Mappings
✍ P.Z. Daffer; H. Kaneko 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 383 KB

In a recent paper \(\mathrm{N}\). Mizoguchi and \(\mathrm{W}\). Takahashi gave a positive answer to the conjecture of \(\mathrm{S}\). Reich concerning the existence of fixed points of multi-valued mappings that satisfy a certain contractive condition. In this paper, we provide an alternative and som