Geodesic
Fatou's Lemma for Multifunctions with Unbounded Values in a Dual Space
Journal of convex analysis, Tome 12 (2005) no. 2, pp. 383-395 Cet article a éte moissonné depuis la source Heldermann Verlag

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A version of Fatou's lemma for multifunctions with unbounded values in infinite dimensions is presented. It generalizes both the recent Fatou-type results for Gelfand integrable functions of B. Cornet and V. F. Martins da Rocha ["Fatou's lemma for unbounded Gelfand integrable mappings", preprint 109, CERMSEM, Université Paris I (2002)] and, in the case of finite dimensions, the finite-dimensional version of the unifying multivalued Fatou-type result of E. J. Balder and C. Hess [Math. Oper. Res. 20 (1995) 175--188].
Classification : 29B20, 28A20
Mots-clés : Fatou's lemma in several dimensions, Gelfand integral, Young measure, asymptotic cone 
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     author = {E. J. Balder and A. R. Sambucini},
     title = {Fatou's {Lemma} for {Multifunctions} with {Unbounded} {Values} in a {Dual} {Space}},
     journal = {Journal of convex analysis},
     pages = {383--395},
     year = {2005},
     volume = {12},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2005_12_2_JCA_2005_12_2_a8/}
}
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E. J. Balder; A. R. Sambucini. Fatou's Lemma for Multifunctions with Unbounded Values in a Dual Space. Journal of convex analysis, Tome 12 (2005) no. 2, pp. 383-395. http://geodesic.mathdoc.fr/item/JCA_2005_12_2_JCA_2005_12_2_a8/