正交Cauchy函数方程的模糊稳定性

doi:10.13371/j.cnki.chin.q.j.m.2018.03.009

数学季刊 ›› 2018, Vol. 33 ›› Issue (3): 302-312.doi: 10.13371/j.cnki.chin.q.j.m.2018.03.009

正交Cauchy函数方程的模糊稳定性

1. School of Electronics and Communication Engineering, Guangxi Colleges and Universities Key,Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University 2. School of Information Science and Engineering, Xiamen University 3. School of Mechanical and Electrical Engineering, Guizhou Normal University

接受日期:2017-06-13 出版日期:2018-09-30 发布日期:2020-10-08
作者简介:BI Lv-qing(1981-), male, native of Nanning, Guangxi, Ph.D, a lecture of Yulin Normal University, engages in fuzzy mathematics and terahertz technology.
基金资助:
Supported by Opening Foundation of Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing(Grant No.2017CSOBDP0103)； Guangxi Universitys Science and Technology Research Project(Grant No.201012MS185)； Science and Technology Foundation of Guizhou Province(Grant No.LKS[2012]34)；

Fuzzy Stability of the Orthogonal Cauchy Functional equations

1. School of Electronics and Communication Engineering, Guangxi Colleges and Universities Key,Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University 2. School of Information Science and Engineering, Xiamen University 3. School of Mechanical and Electrical Engineering, Guizhou Normal University

Accepted:2017-06-13 Online:2018-09-30 Published:2020-10-08
About author:BI Lv-qing(1981-), male, native of Nanning, Guangxi, Ph.D, a lecture of Yulin Normal University, engages in fuzzy mathematics and terahertz technology.
Supported by:
Supported by Opening Foundation of Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing(Grant No.2017CSOBDP0103)； Guangxi Universitys Science and Technology Research Project(Grant No.201012MS185)； Science and Technology Foundation of Guizhou Province(Grant No.LKS[2012]34)；

摘要/Abstract

摘要： In this paper, we establish fuzzy stability of the orthogonal Cauchy functional equations f(x + y) = f(x) + f(y), x ⊥ y and the orthogonal Cauchy functional of P exider type f(x + y) = g(x) + h(y), x ⊥ y in which ⊥ is the orthogonality in the sense of Rtz.

关键词: Fuzzy normed space, Hyers-Ulam stability, Orthogonally Cauchy functional equation, Orthogonally Cauchy functional Pexider equation, Orthogonality space

Abstract: In this paper, we establish fuzzy stability of the orthogonal Cauchy functional equations f(x + y) = f(x) + f(y), x ⊥ y and the orthogonal Cauchy functional of P exider type f(x + y) = g(x) + h(y), x ⊥ y in which ⊥ is the orthogonality in the sense of Rtz.

Key words: Fuzzy normed space, Hyers-Ulam stability, Orthogonally Cauchy functional equation, Orthogonally Cauchy functional Pexider equation, Orthogonality space

中图分类号:

O177

闭吕庆, , 戴松松, 胡波, . 正交Cauchy函数方程的模糊稳定性[J]. 数学季刊, 2018, 33(3): 302-312.

BI Lv-qing , DAI Song-song, HU Bo, . Fuzzy Stability of the Orthogonal Cauchy Functional equations[J]. Chinese Quarterly Journal of Mathematics, 2018, 33(3): 302-312.

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正交Cauchy函数方程的模糊稳定性

Fuzzy Stability of the Orthogonal Cauchy Functional equations

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