Fuzzy Stability of the Orthogonal Cauchy Functional equations

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

Previous Articles Next Articles

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)；

Abstract

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

CLC Number:

O177

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.

[1]	LI Jia-yang, WANG Qi. The Existence of Solutions for a Class of Schrödinger Equations via Morse Index Theory [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(3): 274-280.
[2]	CAO Zi-xin, Li Ai-jun . Volume Inequalities for Sections and Projections of Asymmetric Convex Bodies [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(2): 178-188.
[3]	FAN Li-ping. Two Embedding Theorems in Martingale Spaces [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(1): 88-93.
[4]	CHEN Yu-song, CHANG He-jie. Existence and Concentration of Solutions for An Indefinite Schrodinger-Kirchhoff System [J]. Chinese Quarterly Journal of Mathematics, 2020, 35(1): 37-45.
[5]	JIANG Bing-hua, CAI Ze-lin, CHEN Jin-yang. Some Random Coincidence Point and Common Fixed Point Results in Cone Metric Space Over Banach Algebras [J]. Chinese Quarterly Journal of Mathematics, 2019, 34(4): 362-381.
[6]	JIN Jian-jun, LI Hua-bing, TANG Shu-an. Generalized Schwarzian Derivatives and Analytic Morrey Spaces [J]. Chinese Quarterly Journal of Mathematics, 2019, 34(2): 171-187.
[7]	WU Yao-qiang. γ-(α,β)-Open Sets and γ-(α,β)-T_iSpaces [J]. Chinese Quarterly Journal of Mathematics, 2018, 33(3): 324-330.
[8]	ZHANG Hai-Yan, TANG Huo, LI Shu-Hai, MA Li-Na. Some Basic Properties for Certain Classes of p-valent Analytic Functions Using Differential Operator [J]. Chinese Quarterly Journal of Mathematics, 2018, 33(2): 132-139.
[9]	PIAO Yong-jie. B-Implicit Contractive Conditions and Unique (Common) Fixed Points on Complex Valued Metric Spaces [J]. Chinese Quarterly Journal of Mathematics, 2018, 33(2): 212-220.
[10]	SONG Ji-ping, WANG Mao-fa. Common Fixed Point Results for Quasi-contractions Involving Altering Distance Functions in Ordered Cone Metric Spaces [J]. Chinese Quarterly Journal of Mathematics, 2018, 33(1): 1-16.
[11]	WANG Jian-yong. The Representation Problems of Conjugate Spaces of l⁰(fX_ig) Type F-normed Spaces [J]. Chinese Quarterly Journal of Mathematics, 2017, 32(3): 294-304.
[12]	GE Zhi-hao, CAO Ji-wei. A New Variational Formulation for a Kind of Reaction-diffusion Problem in Broken Sobolev Space [J]. Chinese Quarterly Journal of Mathematics, 2017, 32(2): 134-141.
[13]	GUO Yan-yan, GUO Qi. A Sort of Gray-scale Morphological Dilations and Erosions [J]. Chinese Quarterly Journal of Mathematics, 2017, 32(2): 181-186.
[14]	HAN Ya-zhou. Composition and Multiplication Operators on L^p,∞(M) [J]. Chinese Quarterly Journal of Mathematics, 2016, 31(4): 340-348.
[15]	LI Shu-hai, TANG Huo, MA Li-na. Certain Subclasses of Analytic Functions Involving the Generalized Dziok-Srivastava Operator [J]. Chinese Quarterly Journal of Mathematics, 2016, 31(4): 379-389.

Fuzzy Stability of the Orthogonal Cauchy Functional equations

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments