Asymptotic aspect of Jensen and Jensen type functional equations in multi-normed spaces

Zhihua Wang
April 2015
Journal of Nonlinear Sciences & Applications (JNSA);2015, Vol. 8 Issue 4, p402
Academic Journal
In this paper, we investigate the Hyers-Ulam stability of additive functional equations of two forms: of "Jensen" and "Jensen type" in the framework of multi-normed spaces. We therefore provide a link between multi-normed spaces and functional equations. More precisely, we establish the Hyers-Ulam stability of functional equations of these types for mappings from Abelian groups into multi-normed spaces. We also prove the stability on a restricted domain and discuss an asymptotic behavior of functional equations of these types in the framework of multi-normed spaces.


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