A fixed point method for the stability of functional equations in probabilistic normed quasi-linear spaces

Autor:	Zahra Dehvari, Mohammad Sadegh Modarres Mosadegh
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	cauchy functional equation generalized hyers-ulam stabil- ity probabilistic quasi-linear space Mathematics QA1-939
Zdroj:	Journal of Mahani Mathematical Research, Vol 13, Iss 2, Pp 141-153 (2024)
Druh dokumentu:	article
ISSN:	2251-7952 2645-4505
DOI:	10.22103/jmmr.2023.21228.1417
Popis:	In this article, we define probabilistic normed quasi-linear spaces and provide some introductions and examples to clarify the structure of these spaces. We then investigate the generalized Hyers-Ulam stability of the (additive) Cauchy functional equation in probabilistic normed quasi-linear spaces by using a version of the fixed point theorem.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/fe0a0c709da7403aab2d8fce68970f4d Zobrazit plný text záznamu View record in DOAJ