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STABILITY OF MAPPINGS ON MULTI-NORMED SPACES

Published online by Cambridge University Press:  09 August 2007

H. G. DALES  and
MOHAMMAD SAL MOSLEHIAN
H. G. DALES
Affiliation:
Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom e-mail: garth@maths.leeds.ac.uk
MOHAMMAD SAL MOSLEHIAN
Affiliation:
Department of Mathematics, Ferdowsi University, P.O. Box 1159, Mashhad 91775, Iran. e-mail: moslehian@ferdowsi.um.ac.ir
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Abstract

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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.

Keywords

Primary 39B82Secondary 39B5246B9947A99
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 2 , May 2007 , pp. 321 - 332
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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