On Lipschitz selections of multifunctions with decomposable values

• Autorzy: Rom C.
• Języki publikacji: EN

Abstrakty

EN

Some conditions for existence of Lipschitz selections of multifunctions with decomposable values are given.

Słowa kluczowe

EN

multifunction; Lipschitz selection; decomposable set

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2009
• Tom: Vol. 57, no 2
• Strony: 121--127
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Rom C.

• Department of Mathematics and Computer Science, University of Bielsko-Biała, Willowa 2 43-309 Bielsko-Biała, Poland,

Bibliografia

• [1] C. Castaing and M. Valadier, Convex Analysis and Measurable Multifunctions, Lecture Notes in Math. 580, Springer, Berlin, 1977.
• [2] A. Fryszkowski, Continuous selections for a class of non-convex multivalued maps, Studia Math. 76 (1983), 163-174.
• [3] A. Fryszkowski, Fixed Point Theory for Decomposable Sets, Kluwer, 2004.
• [4] F. Hiai and H. Umegaki, Integrals, conditional expectations, and martingales of multivalued functions, J. Multivariate Anal. 7 (1977), 149-182.
• [5] S. Hu and N. S. Papageorgiou, Handbook of Multivalued Analysis, Vol. I, Kluwer, 1997.
• [6] K. Przesławski, Linear and Lipschitz continuous selectors for the family of convex sets in Euclidean vector spaces, Bull. Polish Acad. Sci. Math. 33 (1985), 31-33.
• [7] A. A. Tolstonogov and D. A. Tolstonogov, Lp-continuous extreme selectors of multifunctions with decomposable values: existence theorems, Set-Valued Anal. 4 (1996), 173-203.