Abstract
In this paper, we define multi-normed spaces, and investigate some properties of multi -bounded mappings on multi-normed spaces. Moreover, we prove a generalized Hyers-Ulam-Rassias stability theorem associated to the Cauchy additive equation for mappings from linear spaces into multi-normed spaces. © 2007 Glasgow Mathematical Journal Trust.
Cite
CITATION STYLE
APA
Dales, H. G., & Moslehian, M. S. (2007). Stability of mappings on multi-normed spaces. Glasgow Mathematical Journal, 49(2), 321–332. https://doi.org/10.1017/S0017089507003552
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