Frechet type theorem and its applications to multifunctions

• Autorzy: Kubiś, B. , Kubiś, W.
• Języki publikacji: EN

Abstrakty

EN

We state a Frechet type theorem for measurable maps with values in an almost arcwise connected metrizable space. As an application, we obtain some results on continuous approximation of measurable multifunctions.

Słowa kluczowe

PL

funkcja rzeczywista; przestrzeń prawie łukowo spójna; topologia Wijsmana

EN

almost arcwise connected space; Hausdorff distance; measurable multifunction; simple multifunction; Wijsman topology

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2000
• Tom: Vol. 48, no 2
• Strony: 165--170
• Opis fizyczny: Bibliogr. 8 poz.,

Twórcy

autor

Kubiś, B.

• Institute of Mathematics, University of Silesia, ul. Bankowa 14, 40-007 Katowice,

autor

Kubiś, W.

• Institute of Mathematics, University of Silesia, ul. Bankowa 14, 40-007 Katowice,

Bibliografia

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• [3] J. Kawabe, The structure of measurable mappings with values in locally convex spaces, Proc. Amer. Math. Soc., 124 (1996) 1513-1515.
• [4] B. Kubiś, Approximation of measurable multifunctions, Tatra Mt. Math. Publ., (2000), to be published.
• [5] A. Nowak, A note on the Fréchet theorem, Ann. Math. Sil., 9 (1995) 43-45.
• [6] B. Z. Vulikh, A brief course in the theory of functions of real variable (in Russian), Mir, Moscow 1976.
• [7] A. Wiśniewski, The structure of measurable mappings on metric spaces, Proc. Amer. Math. Soc., 122 (1994) 147-150.
• [8] A. Wiśniewski, The continuous approximation of measurable mappings, Demonstratio Math., 29 (1996) 529-531