直观随机赋范空间中三次泛函方程的稳定性

张石生; J·M·拉斯尔斯; R·沙达提

doi:10.3879/j.issn.1000-0887.2010.01.003

直观随机赋范空间中三次泛函方程的稳定性

doi: 10.3879/j.issn.1000-0887.2010.01.003

宜宾学院数学系,四川宜宾 644007;
希腊雅典大学雅典数学与讯息学院教师教育系,15342,希腊;

详细信息

作者简介:
张石生(1934- ),男,云南曲靖人,教授(E-mail:changss@yahoo.cn);Reza Saadati(联系人.E-mail:rsaadat@ieml.cc).

中图分类号: O177.91
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出版历程
- 收稿日期: 2009-07-06
- 修回日期: 2009-11-26
- 刊出日期: 2010-01-15

Stability of the Cubic Functional Equation in Intuitionistic Random Normed Spaces

Department of Mathematics, Yibin University, Yibin, Sichuan 644007, P. R. China;
Section of Mathematics and Informatics, Pedagogical Department, National and Capodistrian University of Athens, 4, Agamemnonos St., Aghia Paraskevi, Athens 15342, Greece;
Department of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, Iran

摘要

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．
- 稳定性 /
- 三次泛函方程 /
- 随机赋范空间 /
- 直观随机赋范空间
Abstract: The purpose is first to introduce the notation of intuition isticrandom 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.
- stability /
- cubic functional equation /
- random normed space /
- intuitionistic random normed spaces

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参考文献(26)

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直观随机赋范空间中三次泛函方程的稳定性

doi: 10.3879/j.issn.1000-0887.2010.01.003

作者简介:
张石生(1934- ),男,云南曲靖人,教授(E-mail:changss@yahoo.cn);Reza Saadati(联系人.E-mail:rsaadat@ieml.cc).

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Stability of the Cubic Functional Equation in Intuitionistic Random Normed Spaces

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留言板

直观随机赋范空间中三次泛函方程的稳定性

doi: 10.3879/j.issn.1000-0887.2010.01.003

作者简介: 张石生(1934- ),男,云南曲靖人,教授(E-mail:changss@yahoo.cn);Reza Saadati(联系人.E-mail:rsaadat@ieml.cc).

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出版历程

Stability of the Cubic Functional Equation in Intuitionistic Random Normed Spaces

计量

出版历程

目录

作者简介:
张石生(1934- ),男,云南曲靖人,教授(E-mail:changss@yahoo.cn);Reza Saadati(联系人.E-mail:rsaadat@ieml.cc).