On the stability of the linear functional equation in a single variable on complete metric groups

Soon-Mo Jung; Dorian Popa; Michael Th. Rassias

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On the stability of the linear functional equation in a single variable on complete metric groups

机译：完整度量组上单个变量中线性泛函方程的稳定性

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摘要

In this paper we obtain a result on Hyers-Ulam stability of the linear functional equation in a single variable f(φ(x)) = g(x) • f(x) on a complete metric group.

机译：在本文中，我们在完整度量组上的单个变量f（φ（x））= g（x）•f（x）中获得了线性泛函方程的Hyers-Ulam稳定性结果。

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来源
《Journal of Global Optimization》 |2014年第1期|165-171|共7页
作者
Soon-Mo Jung; Dorian Popa; Michael Th. Rassias;
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作者单位

Mathematics Section, College of Science and Technology, Hongik University, Sejong 339-701, Republic of Korea;

Department of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului, 400114 Cluj-Napoca, Romania;

Department of Mathematics, ETH-Zuerich, Ramistrasse 101, 8092 Zurich, Switzerland;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Optimization; Stability; Functional equation; Complete metric group; Inequalities; Banach spaces; Operator mapping; Euler-Mascheroni constant;

机译：优化;稳定性;功能方程;完整的指标组;不平等;Banach空间;操作员映射;欧拉-马绍洛尼常数;
入库时间 2022-08-18 03:02:18

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On the stability of the linear functional equation in a single variable on complete metric groups

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