The fixed point alternative theorem and set-valued functional equations (Q2925799)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The fixed point alternative theorem and set-valued functional equations |
scientific article; zbMATH DE number 6361929
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The fixed point alternative theorem and set-valued functional equations |
scientific article; zbMATH DE number 6361929 |
Statements
27 October 2014
0 references
set-valued mappings
0 references
non-expansive mappings
0 references
Hyers-Ulam-type stability
0 references
set-valued functional equation
0 references
fixed point alternative theorem
0 references
set-valued Cauchy functional equation
0 references
0.9412093
0 references
0.9299038
0 references
0.9252444
0 references
0.9216787
0 references
The fixed point alternative theorem and set-valued functional equations (English)
0 references
The aim of this paper is to prove the Hyers-Ulam-type stability of the set-valued functional equation NEWLINE\[NEWLINE c(x)F(h(x))=F(x).NEWLINE\]NEWLINE This result is obtained by using the fixed point alternative theorem and it is also applied to show the stability of the set-valued Cauchy functional equation.
0 references
