Displaying similar documents to “Continuous selection theorems”

On a simultaneous selection theorem

Takamitsu Yamauchi (2013)

Studia Mathematica

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Valov proved a general version of Arvanitakis's simultaneous selection theorem which is a common generalization of both Michael's selection theorem and Dugundji's extension theorem. We show that Valov's theorem can be extended by applying an argument by means of Pettis integrals due to Repovš, Semenov and Shchepin.

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

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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.

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.

Multi-valued superpositions

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...............................................

The multi-morphisms and their properties and applications

Mirosław Ślosarski (2015)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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In this paper a new class of multi-valued mappings (multi-morphisms) is defined as a version of a strongly admissible mapping, and its properties and applications are presented.