| 一个多元二次方程的模糊稳定性 |
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| 引用本文： | 刘荣荣,纪培胜.一个多元二次方程的模糊稳定性[J].青岛大学学报(自然科学版),2012,25(3):21-25. |
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| 作者姓名： | 刘荣荣 纪培胜 |
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| 作者单位： | 青岛大学数学科学学院,山东青岛,266071 |
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| 摘 要： | 用不动点方法证明模糊Banach空间上二次函数方程d∑if(x1,…,xi-1,xi+yi,xi+1,…,xd)+d∑i=1f(x1,…,xi-1,xi-yi,xi+1,…,xd)=2df(x1,…,xi,…,xd)+d∑i=12f(x1,…,xi-1,yi,xi+1,…,xd)的稳定性。
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| 关 键 词： | 模糊Banach空间 稳定性 不动点方法 |
Fuzzy Stability of a Multi-Quadratic Functional Equation |
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| LIU Rong-rong
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JI Pei-sheng.Fuzzy Stability of a Multi-Quadratic Functional Equation[J].Journal of Qingdao University(Natural Science Edition),2012,25(3):21-25. |
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| Authors: | LIU Rong-rong JI Pei-sheng |
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| Institution: | (College of Mathematics, Qingdao University, Qingdao 266071, China) |
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| Abstract: | A fuzzy stability of the multi-quadratic functional equation：d∑if（x1,…,xi-1,xi＋yi,xi＋1,…,xd）＋d∑i=1f（x1,…,xi-1,xi-yi,xi＋1,…,xd）=2df（x1,…,xi,…,xd）＋d∑i=12f（x1,…,xi-1,yi,xi＋1,…,xd） is studied in fuzzy Banach space.The proof of its stability is given by using the fixed point alternative method. |
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| Keywords: | fuzzy Banach spaee stability fixed point alternative method |
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