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—基础数学] TM727.2 [电气工程—电力系统及自动化]

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参考文献4

1王志华.A FIXED POINT APPROACH TO THE STABILITY OF A GENERALIZED APOLLONIUS TYPE QUADRATIC FUNCTIONAL EQUATION[J].Acta Mathematica Scientia,2011,31(4):1553-1560. 被引量：2
2Peisheng JI,Weiqing QI,Xiaojing ZHAN.Generalized Stability of Multi-Quadratic Mappings[J].Journal of Mathematical Research with Applications,2014,34(2):209-215. 被引量：3
3H.Azadi KENARY,A.R.ZOHDI,M.Eshaghi GORDJI.FIXED POINTS AND STABILITY FOR QUARTIC MAPPINGS IN β-NORMED LEFT BANACH MODULES ON BANACH ALGEBRAS[J].Acta Mathematica Scientia,2013,33(4):1113-1118. 被引量：2
4Hassan Azadi Kenary.APPROXIMATION OF A CAUCHY-JENSEN ADDITIVE FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES[J].Acta Mathematica Scientia,2012,32(6):2247-2258. 被引量：3

二级参考文献74

1Ulam S M. Problems in Modern Mathematic. Science Editions. John Wiley and Sons, 1964.
2Hyers D H. On the stability of the linear functional equation. Proc Nat Acad Sci, 1941: 27:222-224.
3Rassias Th M. On the stability of the linear mapping in Banach spaces. Proc Amer Math Soc, 1978, 72 297-300.
4Gavruta P. A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings. J Math Anal Appl, 1994, 184:431-436.
5Skof F. Local properties and approximation of operators. Rend Sem Mat Fis Milano, 1983, 53:113-129.
6Cholewa P W. Remarks on the stability of functional equations. Aequationes Math, 1984, 27:76-86.
7Czerwik S. Functional :Equations and Inequalities in Several Variables. River Edge, N J: World Scientific, 2002.
8Aoki T. On the stability of the linear transformation in Banach spaces. J Math Soc Japan, 1950, 2:64-66.
9Arriola L M, Beyer W A. Stability of the Cauchy functional equation over p-adic fields. Real Anal Exchange 2005/06, 31:125-132.
10Azadi Kenary H. On the stability of a cubic functional equation in random normed spaces. J Math Extension, 2009, 4:1-11.

共引文献4

1宋爱民,纪培胜.一个n元二次函数方程的模糊稳定性[J].青岛大学学报（自然科学版）,2014,27(2):7-10.
2綦伟青,纪培胜,卢海宁.二元三次函数方程的解及在模糊Banach空间上的稳定性[J].山东大学学报（理学版）,2015,50(2):60-66. 被引量：1
3Anna BAHYRYCZ,Krzysztof CIEPLINSKI,Jolanta OLKO.ON AN EQUATION CHARACTERIZING MULTI-CAUCHY-JENSEN MAPPINGS AND ITS HYERS-ULAM STABILITY[J].Acta Mathematica Scientia,2015,35(6):1349-1358.
4Choonkil PARK.QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN BANACH SPACES[J].Acta Mathematica Scientia,2015,35(6):1501-1510. 被引量：1

引证文献1

1Janusz BRZDEK,Krzysztof CIEPLINSKI.ON A FIXED POINT THEOREM IN 2-BANACH SPACES AND SOME OF ITS APPLICATIONS[J].Acta Mathematica Scientia,2018,38(2):377-390. 被引量：5

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2Muaadh ALMAHALEBI,Abdellatif CHAHBI.APPROXIMATE SOLUTION OF P-RADICAL FUNCTIONAL EQUATION IN 2-BANACH SPACES[J].Acta Mathematica Scientia,2019,39(2):551-566.
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.

1董振海,胡大银.浅谈有界区间到自身上的二次映射[J].濮阳教育学院学报,2001,14(2):65-66.
2王利广,李静.一类可加和二次混合泛函方程的稳定性[J].数学学报（中文版）,2013,56(4):583-596.
3Pei Sheng JI,Shu Juan ZHOU,Hai Yan XUE.On a Jensen-cubic Functional Equation and Its Hyers-Ulam Stability[J].Acta Mathematica Sinica,English Series,2015,31(12):1929-1940. 被引量：1
4Weimin Wang,Yuqiang Feng,Anli Zheng.ON THE HYERS-ULAM STABILITY OF A THIRD-ORDER NONLINEAR DIFFERENTIAL EQUATION[J].Annals of Applied Mathematics,2015,31(4):437-445.
5Peisheng JI,Weiqing QI,Xiaojing ZHAN.Generalized Stability of Multi-Quadratic Mappings[J].Journal of Mathematical Research with Applications,2014,34(2):209-215. 被引量：3
6Anna BAHYRYCZ,Krzysztof CIEPLINSKI,Jolanta OLKO.ON AN EQUATION CHARACTERIZING MULTI-CAUCHY-JENSEN MAPPINGS AND ITS HYERS-ULAM STABILITY[J].Acta Mathematica Scientia,2015,35(6):1349-1358.
7王利广,刘博,孙宗娟.一类源自二次和三次映射的混合泛函方程的模糊稳定性[J].应用泛函分析学报,2013,15(2):97-108.
8阿基米德的价值[J].新东方,2006(1):32-32.
9魏然红,纪培胜.二次函数方程的模糊稳定性[J].青岛大学学报（自然科学版）,2012,25(3):17-20.
10谢建华.Feigenbaum吸引子是什么?[J].力学与实践,2002,24(1):63-64.

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