| 三次函数方程在模糊赋范空间上的稳定性 |
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| 引用本文： | 孙晨星,何志蓉,孔花.三次函数方程在模糊赋范空间上的稳定性[J].四川大学学报(自然科学版),2012,49(4):761-764. |
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| 作者姓名： | 孙晨星 何志蓉 孔花 |
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| 作者单位： | 四川大学数学学院;四川大学数学学院;内江师范学院数学与信息科学学院 |
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| 基金项目： | 四川大学青年教师科研启动基金(2010-2011)(2020104134007) |
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| 摘 要： | 2007年,Najati给出了三次函数方程的通解及其在Banach空间上的Hyers-UlamRassias稳定性.本文运用不动点的择一性方法,证明了三次函数方程在模糊赋范空间上的Hyers-Ulam-Rassias稳定性.
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| 关 键 词： | 不动点的择一性 Hyers-Ulam-Rassias稳定性 三次函数方程 模糊赋范空间 |
Stability of a cubic functional equation in fuzzy normed space |
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| SUN Chen-Xing,HE Zhi-Rong,KONG Hua.Stability of a cubic functional equation in fuzzy normed space[J].Journal of Sichuan University (Natural Science Edition),2012,49(4):761-764. |
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| Authors: | SUN Chen-Xing HE Zhi-Rong KONG Hua |
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| Institution: | College of Mathematics,Sichuan University;College of Mathematics,Sichuan University;School of Mathematics and Information Science, Neijiang Normal University |
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| Abstract: | Najati obtained the general solution and generalized Hyers Ulam Rassias stability for a cubic functional equation in 2007. Using the fixed point alternative method, the generalized Hyers-Ulam Rassias stability is obtained for the in this paper, by cubic functional equation in fuzzy normed space. |
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| Keywords: | fixed point alternative Hyers-Ulam Rassias stability cubic functional equation fuzzy normed space |
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