On a lower semicontinuity of a certain multifunction

• Autorzy: Puchała P.
• Języki publikacji: EN

Abstrakty

EN

Let T be a metric space, X - n-dimensional Euclidean space and P : T → 2x - continuous multifunction with compact convex values. We will show that multifunction T ϶ t ϵ ext P(t) ϵ 2x is lower semicontinuous.

Słowa kluczowe

EN

lower semicontinuity; Banach space

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2003
• Tom: Vol. 2, nr 1
• Strony: 153--158
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Puchała P.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology

Bibliografia

• [1] Bourgin R.D., Geometric aspects of convex sets with Radon-Nikodym property, Springer Lecture Notes in Mathematics 993, 1983.
• [2] Repovs D., Semenov P.V., Continuous selections of multivalued mappings, Kluwer 1998.
• [3] Tolstonogov A.A., Figonienko A.I., On functional-differential inclusions with non-convex right-hand side in a Banach space, Dokl. AN. SSSR 254 (1980), 45-49 (in Russian).
• [4] Webster R., Convexity, Oxford University Press, 1994.

Uwagi

EN

The papers have been presented during the session devoted to application of mathematics (as part of International Conference on Parallel Processing and Applied Mathematics).