On the Convergence of Sequences of Convex Sets in Finite Dimensions
1979; Society for Industrial and Applied Mathematics; Volume: 21; Issue: 1 Linguagem: Inglês
10.1137/1021002
ISSN1095-7200
AutoresGabriella Salinetti, Roger J.‐B. Wets,
Tópico(s)Fixed Point Theorems Analysis
ResumoPrevious article Next article On the Convergence of Sequences of Convex Sets in Finite DimensionsGabriella Salinetti and Roger J.-B. WetsGabriella Salinetti and Roger J.-B. Wetshttps://doi.org/10.1137/1021002PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractFour types of convergence for sequences of convex sets are investigated. Their interrelationships are explored.[1] Casimir Kuratowski, Topologie. Vol. I, Monografie Matematyczne, Tom 20, Państwowe Wydawnictwo Naukowe, Warsaw, 1958xiii+494, Poland MR0090795 0078.14603 Google Scholar[2] Umberto Mosco, Convergence of convex sets and of solutions of variational inequalities, Advances in Math., 3 (1969), 510–585 10.1016/0001-8708(69)90009-7 MR0298508 0192.49101 CrossrefISIGoogle Scholar[3] B. Van Cutsem, Masters Thesis, Eléments aléatoires à valeurs convexes compactes, Thèse, Grenoble, France, 1971 Google Scholar[4] George B. 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