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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M.M. Marjanovic, M.M. Dresevic (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Stanisław Łojasiewicz, jr. (1985)
Banach Center Publications
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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.
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.
V. Popa, T. Noiri (1991)
Matematički Vesnik
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Diego Averna, Salvatore A. Marano (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Ivan Kupka (1993)
Mathematica Slovaca
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Jürgen Appell, Nguyêñ Hôǹg Thái, Espedito De Pascale, Petr P. Zabreĭko
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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...............................................
Salvatore A. Marano (1994)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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For a class of multivalued contractions with nonclosed, nonconvex values, the set of all fixed points is proved to be nonempty and arcwise connected. Two applications are then developed. In particular, one of them is concerned with some properties of the set of all classical trajectories corresponding to continuous controls for a given nonlinear control system.