ArticleOriginal scientific text

Title

Continuous selection theorems

Authors 1

Affiliations

  1. 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

  1. M. Kisielewicz, Differential Inclusions and Optimal Control, Kluwer Acad. Publ., New York 1991.
  2. E. Michael, Continuous selections, Annales Math. 63 (1956), 361-382.
  3. L. Rybiński, On Carathéodory type selections, Fund. Math. 125 (1985), 187-193.
Pages:
159-163
Main language of publication
English
Received
2005-05-08
Published
2005
Exact and natural sciences