Continuous selections for weakly Hausdorff lower semicontinuous multifunctions
HTML articles powered by AMS MathViewer
- by F. S. De Blasi and J. Myjak PDF
- Proc. Amer. Math. Soc. 93 (1985), 369-372 Request permission
Abstract:
The existence of continuous selections is proved for a class of weakly Hausdorff lower semicontinuous multifunctions.References
- Francesco S. De Blasi and Józef Myjak, Sur l’existence de sélections continues, C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), no. 17, 737–739 (French, with English summary). MR 707331
- Frank Deutsch and Petar Kenderov, Continuous selections and approximate selection for set-valued mappings and applications to metric projections, SIAM J. Math. Anal. 14 (1983), no. 1, 185–194. MR 686245, DOI 10.1137/0514015
- M. Edelstein and A. C. Thompson, Some results on nearest points and support properties of convex sets in $c_{0}$, Pacific J. Math. 40 (1972), 553–560. MR 308741
- Ernest Michael, Continuous selections. I, Ann. of Math. (2) 63 (1956), 361–382. MR 77107, DOI 10.2307/1969615
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 369-372
- MSC: Primary 54C65; Secondary 54C60, 90A14
- DOI: https://doi.org/10.1090/S0002-9939-1985-0770557-1
- MathSciNet review: 770557