ON STABILITY PROBLEMS WITH SHADOWING PROPERTY AND ITS APPLICATION

Title & Authors
ON STABILITY PROBLEMS WITH SHADOWING PROPERTY AND ITS APPLICATION
Chu, Hahng-Yun; Han, Gil-Jun; Kang, Dong-Seung;

Abstract
Let $\small{n{\geq}2}$ be an even integer. We investigate that if an odd mapping f : X $\small{{\rightarrow}}$ Y satisfies the following equation $2_{n-2}C_{\frac{n}{2}-1}rf\(\sum\limits^n_{j Keywords shadowing property;Hyers-Ulam-Rassias stability;additive mapping;$\small{C^*}$-algebra isomorphism; Language English Cited by References 1. J.-H. Bae and W.-G. Park, On the generalized Hyers-Ulam-Rassias stability in Banach modules over a$C^\ast$-algebra, J. Math. Anal. Appl. 294 (2004), no. 1, 196-205. 2. C. Baak, D.-H. Boo, Th. M. Rassias, Generalized additive mapping in Banach modules and isomorphisms between$C^\ast\$-algebras, J. Math. Anal. Appl. 314 (2006), no. 1, 150-161.

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