Download PDF - Continuous selection theorems
ArticleOriginal scientific text
Title
Continuous selection theorems
Authors 1
Affiliations
- Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, Poland
Abstract
Continuous approximation selection theorems are given. Hence, in some special cases continuous versions of Fillipov's selection theorem follow.
Keywords
set-valued mappings, continuous selection, Fillipov's selection theorem,
Bibliography
- M. Kisielewicz, Differential Inclusions and Optimal Control, Kluwer Acad. Publ., New York 1991.
- E. Michael, Continuous selections, Annales Math. 63 (1956), 361-382.
- L. Rybiński, On Carathéodory type selections, Fund. Math. 125 (1985), 187-193.