“单变量线性函数方程的不动点和稳定性”

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-05-10 DOI:10.37193/cjm.2022.03.20

L. Cadariu, Laura Manolescu

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引用次数: 0

摘要

“在本文中，我们证明了一个有趣的结果，关于线性泛函方程$g(\varphi(x))=a(x)\bullet g(x)$在完备度量群上的广义Hyers-Ulam稳定性，该结果是由S.M. Jung, D. Popa和M.T. Rassias在2014年给出的。此外，我们给出了可以用给定误差近似的函数的一个表征，通过上述线性方程的解。我们的结果也与G.H. Kim和thm.r assias最近关于Psi泛函方程稳定性的结果有关。

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"Fixed points and the stability of the linear functional equations in a single variable"

"In this paper we prove that an interesting result concerning the generalized Hyers-Ulam stability of the linear functional equation $g(\varphi(x))=a(x)\bullet g(x)$ on a complete metric group, given in 2014 by S.M. Jung, D. Popa and M.T. Rassias, can be obtained using the fixed point technique. Moreover, we give a characterization of the functions that can be approximated with a given error, by the solution of the linear equation mention above. Our results are also related to a recent result of G.H. Kim and Th.M. Rassias concerning the stability of Psi functional equation."

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.