On dense univalued representations of multivalued maps
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Representations of multivalued maps as pointwise closure of a sequence of point-valued functions are derived from functional analytic considerations. Characterizations of convergence in the space of multifunctions, and of the ensemble of selections are implied.
KeywordsProbability Space Weak Convergence Dense Sequence Dense Representation Abstract Consideration
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- Bourass A., Truffert A.,Ensembles fermes decomposables dans les espaces integraux de type Orliez, Seminaire d'Analyse Convexe, Montpeillier 1982, no.15.Google Scholar
- Lu'u D. Q.,A representation theorem for almost surely convergent sequences of multifunctions, Acta Math. Vietnamica,5 (1981), 141–143.Google Scholar
- Rockafellar R. T.,Integral funtcionals, normal integrands and measurable selections. Nonlinear Operators and Calculus of Variations, Lecture Notes in Mathematics 543, Springer Verlag, Berlin, 1976, 157–207.Google Scholar
- Salinetti, G., Wets R. J.-B.,On the convergence in distribution of measurable multifunctions, normal integrands, stochastic processes and stochastic infima. Preprint, IIASA, Laxenburg, Austria, 1982.Google Scholar