Fuzzy Stability of the Orthogonal Cauchy Functional equations

BI Lv-qing , DAI Song-song, HU Bo,

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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)；

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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

Cite this article

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

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