Two theorems on the Scorza Dragoni property for multifunctions

Gabriele Bonanno

Displaying similar documents to “Two theorems on the Scorza Dragoni property for multifunctions”

Two theorems on the Scorza Dragoni property for multifunctions

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.

A note on Ascol's theorem for spaces of multifunctions.

M.M. Marjanovic, M.M. Dresevic (1972)

Publications de l'Institut Mathématique [Elektronische Ressource]

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Some theorems of Scorza-Dragoni type for multifunctions with application to the problem of existence of solutions for differential multivalued equations

Stanisław Łojasiewicz, jr. (1985)

Banach Center Publications

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Selection theorem in L¹

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.

Monotone approximation of measurable multifunctions by simple multifunctions

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.

On superpositionally measurable multifunctions

Andrzej Spakowski (1989)

Acta Universitatis Carolinae. Mathematica et Physica

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On the measurability of the conjugate and the subdifferential of a normal integrand.

Hess, Christian (1995)

Journal of Convex Analysis

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On superpositionally measurable semi-Carathéodory multifunctions

Wojciech Zygmunt (1992)

Commentationes Mathematicae Universitatis Carolinae

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For multifunctions $F : T \times X \to 2^{Y}$ , measurable in the first variable and semicontinuous in the second one, a relation is established between being product measurable and being superpositionally measurable.