Application of the selection procedure R to unequal observation numbers
Mirosława Sitek (1971)
Applicationes Mathematicae
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Mirosława Sitek (1971)
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E. J. Dudewicz (1974)
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Michał Kisielewicz (2005)
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Continuous approximation selection theorems are given. Hence, in some special cases continuous versions of Fillipov's selection theorem follow.
Gabriele Bonanno (1989)
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We point out two theorems on the Scorza Dragoni property for multifunctions. As an application, in particular, we improve a Carathéodory selection theorem by A. Cellina [4], by removing a compactness assumption.
Gabriele Bonanno (1989)
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We point out two theorems on the Scorza Dragoni property for multifunctions. As an application, in particular, we improve a Carathéodory selection theorem by A. Cellina [4], by removing a compactness assumption.
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Pavel V. Semenov (2007)
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CONTENTSIntroduction.......................................................................................................... 51. Multifunctions and selections............................................................................... 7 1. Multifunctions and selections.................................................................. 7 2. Continuous multifunctions and selections........................................... 9 3. Measurable multifunctions and selections...............................................
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Let F be a multifunction from a metric space X into L¹, and B a subset of X. We give sufficient conditions for the existence of a measurable selector of F which is continuous at every point of B. Among other assumptions, we require the decomposability of F(x) for x ∈ B.
Diego Averna, Salvatore A. Marano (1999)
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Siegrfried Graf (1979)
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