STABILITY OF MAPPINGS ON MULTI-NORMED SPACES-Reference-Cited by-同舟云学术

STABILITY OF MAPPINGS ON MULTI-NORMED SPACES

Published:2007-05 Issue:2 Volume:49 Page:321-332
ISSN:0017-0895
Container-title:Glasgow Mathematical Journal
language:en
Short-container-title:Glasgow Math. J.

Author:

DALES H. G.,MOSLEHIAN MOHAMMAD SAL

Abstract

AbstractIn 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference22 articles.

1. A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings

2. 12. Jarosz K. , Perturbations of Banach algebras, Lecture Notes in Mathematics, No. 1120 (Springer–Verlag, 1985).

3. 6. Dales H. G. and Polyakov M. E. , Multi-normed spaces and multi-Banach algebras (preprint).

4. Approximate Homomorphisms of Ternary Semigroups

5. On the Stability of the Linear Functional Equation

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