On the Stability of Alternative Additive Equations in Multi-β-Normed Spaces

Xiuzhong Yang; Jing Ma; Guofen Liu

doi:10.1155/2016/2534597

Journal of Function Spaces (Jan 2016)

On the Stability of Alternative Additive Equations in Multi-β-Normed Spaces

Xiuzhong Yang,
Jing Ma,
Guofen Liu

Affiliations

Xiuzhong Yang: College of Mathematics and Information Science, Hebei Normal University and Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang 050024, China
Jing Ma: College of Mathematics and Information Science, Hebei Normal University and Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang 050024, China
Guofen Liu: College of Mathematics and Information Science, Hebei Normal University and Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang 050024, China

DOI: https://doi.org/10.1155/2016/2534597
Journal volume & issue: Vol. 2016

Abstract

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We introduce the notion of multi-β-normed space (0<β≤1) and study the stability of the alternative additive functional equation of two forms in this type of space.

Published in Journal of Function Spaces

ISSN: 2314-8896 (Print); 2314-8888 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/9303

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