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

• Autorzy: Thanyacharoen Anurak , Sintunavarat Wutiphol

Identyfikatory

DOI

10.1515/dema-2021-0002

• Języki publikacji: EN

Abstrakty

EN

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), where f maps from a(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 s-functional inequality is discussed via our results.

Słowa kluczowe

EN

additive functional equation; composite functional equation; composite s-functional inequalities; quasi-β-normed spaces

PL

równanie funkcyjne; uogólniona stabilność Ulama-Hyersa-Rassiasa; złożone równanie funkcyjne; nierówności funkcyjne; przestrzeń unormowana

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2021
• Tom: Vol. 54, nr 1
• Strony: 68--84
• Opis fizyczny: Bibliogr. 34 poz.

Twórcy

autor

Thanyacharoen Anurak

• Department of Mathematics, Faculty of Science and Technology, Muban Chombueng Rajabhat University, Chom Bueng, Ratchaburi, 70150, Thailand

autor

Sintunavarat Wutiphol

• Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Phatum Thani 12120, Thailand

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).