On new stability results for composite functional equations in quasi-β-normed spaces

Anurak Thanyacharoen; Wutiphol Sintunavarat

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On new stability results for composite functional equations in quasi-β-normed spaces

机译：On new stability results for composite functional equations in quasi-β-normed spaces

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In this article, we prove the generalized Hyers-Ulam-Rassias stability for the following composite functional equation:f(f(x)−f(y))=f(x+y)+f(x−y)−f(x)−f(y),f(f(x)−f(y))=f(x+y)+f(x−y)−f(x)−f(y),where ff maps from a (β,p)(β,p) -Banach space into itself, by using the fixed point method and the direct method. Also, the generalized Hyers-Ulam-Rassias stability for the composite ss -functional inequality is discussed via our results.

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来源
《Demonstratio Mathematica》 |2021年第1期|68-84|共17页
作者
Anurak Thanyacharoen; Wutiphol Sintunavarat;
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作者单位

Department of Mathematics, Faculty of Science and Technology, Muban Chombueng Rajabhat University;

Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University;

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正文语种英语
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additive functional equations; composite functional equations; composite s-functional inequalities; quasi-β-normed spaces;

On new stability results for composite functional equations in quasi-β-normed spaces

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