The Ulam Stability Problem for the Functional Equation $$f(x\star g(y))=f(x)f(y)$$-Reference-Cited by-同舟云学术

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The Ulam Stability Problem for the Functional Equation $$f(x\star g(y))=f(x)f(y)$$

Published:2020-03-25 Issue:2 Volume:75 Page:
ISSN:1422-6383
Container-title:Results in Mathematics
language:en
Short-container-title:Results Math

Author:

Badora Roman^ORCID

Abstract

AbstractWe present a solution of Ulam’s stability problem for the functional equation

$$f(x\star g(y))=f(x)f(y)$$

f(x⋆g(y))=f(x)f(y) with vector-valued map f.

Funder

University of Silesia in Katowice

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Link

http://link.springer.com/content/pdf/10.1007/s00025-020-01188-2.pdf

Reference8 articles.

1. Baker, J.A.: The stability of the cosine equation. Proc. Am. Math. Soc. 80, 411–416 (1980)

2. Chung, J.: Stability of a functional equation connected with Reynolds operator. Adv. Differ. Equ. 2014, 158 (2014)

3. Ger, R., Šemrl, P.: The stability of the exponential equation. Proc. Am. Math. Soc. 124, 779–787 (1996)

4. Gruber, P.M.: Stability of isometries. Trans. Am. Math. Soc. 245, 263–277 (1978)

5. Hyers, D.H., Isac, G., Rassias, ThM: Stability of Functional Equations in Several Variables. Birkhäuser, Basel (1998)

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Hyers–Ulam stability of functional inequalities: a fixed point approach;Journal of Inequalities and Applications;2020-11-25

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