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直观随机赋范空间中三次泛函方程的稳定性 被引量：2

Stability of the Cubic Functional Equation in Intuitionistic Random Normed Spaces
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摘要 先引入直观随机赋范空间的概念.然后,借助这一概念,然后对任意的三角范数在该空间的框架下,研究了三次泛函方程的稳定性.另外,还介绍了随机空间理论、直观空间理论及泛函方程理论间的密切关系. The purpose is fn＇st to introduce the notation of intuitionistic random normed spaces, and then by virtue of this notation to study the stability of a cubic functional equation in the setting of these spaces under arbitrary triangle norms, Furthermore, the interdisciplinary relation among the theory of random spaces, the theory of intuitionistic spaces and the theory of functional equations are also presented.
作者 张石生 J.M.拉斯尔斯 R.沙达提
机构地区 宜宾学院数学系 希腊雅典大学雅典数学与讯息学院教师教育系 阿米卡比技术大学数学与计算机科学系
出处 《应用数学和力学》 CSCD 北大核心 2010年第1期19-25,共7页 Applied Mathematics and Mechanics
关键词 稳定性 三次泛函方程 随机赋范空间 直观随机赋范空间 stability cubic functional equation random normed space intuitionistic random normed spaces
分类号 O177.91 [理学—基础数学]
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参考文献28

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共引文献2

同被引文献43

  • 1S·库图苏,A·图纳,A·T·雅库特,海治（译）,丁协平（校）.直觉Menger空间中的广义压缩映射原理及其在微分方程中的应用[J].应用数学和力学,2007,28(6):713-723. 被引量：3
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应用数学和力学
2010年 第1期

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