Hyers-Ulam Type Stability of the Pexiderized Cauchy Functional Equation in Locally Convex Cones
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912319534006272 |
|---|---|
| author | Mohammadpour, Jafar Najati, Abbas EL-Fassi, Iz-iddine |
| author_facet | Mohammadpour, Jafar Najati, Abbas EL-Fassi, Iz-iddine |
| contents | The foundation of locally convex cone theory relies on order-theoretic concepts that induce specific topological frameworks. Within this structure, cones naturally possess three distinct topologies: lower, upper, and symmetric. In this paper, we consider the Hyers-Ulam type stability of the Pexiderized Cauchy functional equation $f(x+y)=g(x)+h(y)$ in locally convex cones. Additionally, we present several significant corollaries that follow from our primary findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07546 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hyers-Ulam Type Stability of the Pexiderized Cauchy Functional Equation in Locally Convex Cones Mohammadpour, Jafar Najati, Abbas EL-Fassi, Iz-iddine Functional Analysis 39B82, 39B52, 46A03 The foundation of locally convex cone theory relies on order-theoretic concepts that induce specific topological frameworks. Within this structure, cones naturally possess three distinct topologies: lower, upper, and symmetric. In this paper, we consider the Hyers-Ulam type stability of the Pexiderized Cauchy functional equation $f(x+y)=g(x)+h(y)$ in locally convex cones. Additionally, we present several significant corollaries that follow from our primary findings. |
| title | Hyers-Ulam Type Stability of the Pexiderized Cauchy Functional Equation in Locally Convex Cones |
| topic | Functional Analysis 39B82, 39B52, 46A03 |
| url | https://arxiv.org/abs/2504.07546 |