正交Cauchy函数方程的模糊稳定性

闭吕庆, , 戴松松, 胡波,

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

数学季刊 >

2018 , Vol. 33 >Issue 3: 302 - 312

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.03.009

正交Cauchy函数方程的模糊稳定性

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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

BI Lv-qing(1981-), male, native of Nanning, Guangxi, Ph.D, a lecture of Yulin Normal University, engages in fuzzy mathematics and terahertz technology.

录用日期: 2017-06-13

网络出版日期: 2020-10-08

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)；

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Fuzzy Stability of the Orthogonal Cauchy Functional equations

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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

BI Lv-qing(1981-), male, native of Nanning, Guangxi, Ph.D, a lecture of Yulin Normal University, engages in fuzzy mathematics and terahertz technology.

Accepted date: 2017-06-13

Online published: 2020-10-08

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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

本文引用格式

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

Abstract

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

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