Gabriele Bonanno (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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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)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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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.
Andrzej Spakowski (1990)
Časopis pro pěstování matematiky
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Stanisław Łojasiewicz, jr. (1985)
Banach Center Publications
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Beata Kubiś (2001)
Mathematica Bohemica
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We investigate the problem of approximation of measurable multifunctions by monotone sequences of measurable simple ones. Our main tool is the Marczewski function, i.e., the characteristic function of a sequence of sets.
Michał Kisielewicz (2005)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Continuous approximation selection theorems are given. Hence, in some special cases continuous versions of Fillipov's selection theorem follow.
M.M. Marjanovic, M.M. Dresevic (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Tiziana Cardinali (2002)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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If f is a continuous seminorm, we prove two f-best approximation theorems for functions Φ not necessarily continuous as a consequence of our version of Glebov's fixed point theorem. Moreover, we obtain another fixed point theorem that improves a recent result of [4]. In the last section, we study continuity-type properties of set valued parametric projections and our results improve recent theorems due to Mabizela [11].
Helga Schirmer (1984)
Fundamenta Mathematicae
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Anna Kucia (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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Using the Rådström-Hörmander theorem on embedding of the hyperspace of closed convex sets in a Banach space, we prove multivalued versions of some results known for real functions.
Andrzej Nowak, Celina Rom (2006)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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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.