On superpositionally measurable multifunctions
Andrzej Spakowski (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Measurability of multifunctions of two variables”
On superpositionally measurable multifunctions
On superpositionally measurable semi-Carathéodory multifunctions
Wojciech Zygmunt (1992)
Commentationes Mathematicae Universitatis Carolinae
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For multifunctions , measurable in the first variable and semicontinuous in the second one, a relation is established between being product measurable and being superpositionally measurable.
Product measurability and Scorza-Dragoni's type property
Wojciech Zygmunt (1988)
Rendiconti del Seminario Matematico della Università di Padova
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An existence theorem for an implicit integral equation with discontinuous right-hand side.
Anello, Giovanni (2006)
Journal of Inequalities and Applications [electronic only]
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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.