Stability of mappings on multi-normed spaces

Dales, H.G. and Moslehian, Mohammad Sal (2007) Stability of mappings on multi-normed spaces. Glasgow Mathematical Journal, 49 (2). pp. 321-332. ISSN 0017-0895

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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.

Item Type:

Journal Article

Journal or Publication Title:

Glasgow Mathematical Journal

Additional Information:

http://journals.cambridge.org/action/displayJournal?jid=GMJ The final, definitive version of this article has been published in the Journal, Glasgow Mathematical Journal, 49 (2), pp 321-332 2007 © 2007 Cambridge University Press.

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2600

Subjects:

?? general mathematicsmathematics(all) ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

67575

Deposited By:

ep_importer_pure

Deposited On:

18 Nov 2013 12:20

Refereed?:

Yes

Published?:

Published

Last Modified:

06 Sep 2024 00:15

URI:

https://eprints.lancs.ac.uk/id/eprint/67575