An application of the continuous selection theorem to the study of the fixed points of multivalued mappings (Q757812)
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: An application of the continuous selection theorem to the study of the fixed points of multivalued mappings |
scientific article; zbMATH DE number 4194529
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An application of the continuous selection theorem to the study of the fixed points of multivalued mappings |
scientific article; zbMATH DE number 4194529 |
Statements
An application of the continuous selection theorem to the study of the fixed points of multivalued mappings (English)
0 references
1990
0 references
A certain selection theorem of Michael type for weakly lower semicontinuous multifunctions was given by \textit{K. Przeslawski} and the author in Proc. Am. Math. Soc. 109, No.2, 537-543 (1990; Zbl 0706.54018). In the present paper, this is applied to fixed point theorems of Krasnosel'skij type and implicit function lemmas of Filippov type for convex-closed valued multifunctions.
0 references
selection theorem of Michael type for weakly lower semicontinuous multifunctions
0 references
fixed point theorems of Krasnosel'skij type
0 references
implicit function lemmas of Filippov type
0 references
convex-closed valued multifunctions
0 references
0 references
