Locally compact set-valued solutions for the general linear equation

DOI10.1007/s00010-003-2699-1zbMath1054.39016OpenAlexW2094017830MaRDI QIDQ1881593

Dorian Popa, Neculae Vornicescu

Publication date: 5 October 2004

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-003-2699-1

zbMATH Keywords

linear functional equationreal linear spacesreal Hausdorff spaceset valued solutions

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (8)

Set-valued solutions of a two-variable functional equation with involutions ⋮ On set-valued solutions of a generalized bi-quadratic functional equation ⋮ New characterizations of the set-valued solutions for a class of functional equations with involutions ⋮ Set-valued solutions of an equation of Jensen type ⋮ On the blended solutions of polynomial-like iterative equation with multivalued functions ⋮ On selections of generalized convex set-valued maps ⋮ Topological conjugacy for multifunctions with finitely many set-valued points and an application to iterative roots ⋮ Set-valued solutions of a generalized quadratic functional equation

This page was built for publication: Locally compact set-valued solutions for the general linear equation