Carathéodory CM-selectors for oppositely semicontinuous multifunctions of two variables

• Autorzy: Nguyen H. T. , Juniewicz M. , Ziemińska J.
• Języki publikacji: EN

Abstrakty

EN

We present a new joint selection theorem on the so-called Caratheodory CM-selections for oppositely semicontinuous (in x) multifunctions F and G of variables (t, x) [belongs to] T x X where T is a complete measurable space and X is a Polish space. This theorem unifies the known theorem on Caratheodory selections for the lower Caratheodory multifunction G and a general theorem on Caratheodory epsilon-approximate selections for the H-upper Caratheodory multifunction F. The latter theorems are "T-random" versions of Michael's theorem and Cellina's theorem, respectively.

Słowa kluczowe

EN

Caratheodory CM-selector; Caratheodory epsilon-approximate selector; Caratheodory joint selector; Caratheodory selector; H-upper and lower semicontinuous multifunctions; joint CM-selector

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2002
• Tom: Vol. 50, no 1
• Strony: 47--57
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Nguyen H. T.

• Institute of Mathematics, Szczecin University, Wielkopolska 15, 70-451 Szczecin, Poland

autor

Juniewicz M.

• Institute of Mathematics, Szczecin University, Wielkopolska 15, 70-451 Szczecin, Poland

autor

Ziemińska J.

• Institute of Mathematics, Szczecin University, Wielkopolska 15, 70-451 Szczecin, Poland

Bibliografia

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