ON THE HYERS-ULAM STABILITY OF AN EQUATION CHARACTERIZING MULTI-QUADRATIC MAPPINGS 被引量：1

ON THE HYERS-ULAM STABILITY OF AN EQUATION CHARACTERIZING MULTI-QUADRATIC MAPPINGS

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摘要 In this article, we prove, both in complete non-Archimedean normed spaces and in 2-Banach spaces, the generalized Hyers-Ulam stability of an equation characterizing multi- quadratic mappings. Our results generalize some known outcomes. In this article, we prove, both in complete non-Archimedean normed spaces and in 2-Banach spaces, the generalized Hyers-Ulam stability of an equation characterizing multi- quadratic mappings. Our results generalize some known outcomes.

作者 Krzysztof CIEPLINSKI Angelika SUROWCZYK

机构地区 Faculty of Applied Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 2015年第3期690-702,共13页 数学物理学报（B辑英文版）

关键词 Multi-quadratic mapping （generalized） Hyers-Ulam stability the Jordana-vonNeumann functional equation direct method Multi-quadratic mapping （generalized） Hyers-Ulam stability the Jordana-vonNeumann functional equation direct method

分类号 O177.2 [理学—数学] TM727.2 [理学—基础数学]

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参考文献4

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共引文献4

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引证文献1

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3Laddawan AIEMSOMBOON,Wutiphol SINTUNAVARAT.ON NEW APPROXIMATIONS FOR GENERALIZED CAUCHY FUNCTIONAL EQUATIONS USING BRZDȨK AND CIEPLIŃSKI'S FIXED POINT THEOREMS IN 2-BANACH SPACES[J].Acta Mathematica Scientia,2020,40(3):824-834.
4刘新,陈丽丽,黄帅.一类随机细胞神经网络的均方指数稳定性[J].哈尔滨理工大学学报,2020,25(5):149-157. 被引量：2
5Ravinder Kumar SHARMA,Sumit CHANDOK.THE GENERALIZED HYPERSTABILITY OF GENERAL LINEAR EQUATION IN QUASI-2-BANACH SPACE[J].Acta Mathematica Scientia,2022,42(4):1357-1372.

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