Szczegóły publikacji
Opis bibliograficzny
A fixed point theorem and Ulam stability of a general linear functional equation in random normed spaces / Chaimaa Benzarouala, Janusz BRZDĘK, Lahbib Oubbi // Journal of Fixed Point Theory and Applications ; ISSN 1661-7738. — 2023 — vol. 25 iss. 1 art. no. 33, s. 1–38. — Bibliogr. s. 32–37, Abstr. — Publikacja dostępna online od: 2022-12-20
Autorzy (3)
- Benzarouala Chaimaa
- AGHBrzdęk Janusz
- Oubbi Lahbib
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 144934 |
|---|---|
| Data dodania do BaDAP | 2023-04-21 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s11784-022-01034-8 |
| Rok publikacji | 2023 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Journal of Fixed Point Theory and Applications |
Abstract
We prove a very general fixed point theorem in the space of functions taking values in a random normed space (RN-space). Next, we show several of its consequences and, among others, we present applications of it in proving Ulam stability results for the general inhomogeneous linear functional equation with several variables in the class of functions f mapping a vector space X into an RN-space. Particular cases of the equation are for instance the functional equations of Cauchy, Jensen, Jordan-von Neumann, Drygas, Frechet, Popoviciu, the polynomials, the monomials, the p-Wright affine functions, and several others. We also show how to use the theorem to study the approximate eigenvalues and eigenvectors of some linear operators.