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References
J.M. BORWEIN: Continuity and differentiability properties of convex operators, Proc. London Math. Soc., 44 (1982), 420–444.
J.M. BORWEIN: "Convex relations in analysis and optimization" in Generalized concavity in optimization and economics (ed. S. Shaible and W. Ziemba) Academic Press, New York (1981), 335–377.
C. CASTAING and M. VALADIER: Convex analysis and measurable multifunctions, Lecture Notes in Mathematics no 580, Springer-Verlag, Berlin 1977.
J.P.R. CHRISTENSEN: Topology and Borel structure, North-Holland, American, Elsevier, New York, 1974.
P. FISCHER and Z. SLODKOWSKI: Christensen zero sets and measurable convex functions, Proc. Amer. Math. Soc., 79 (1980), 449–453.
M. JOUAK and L. THIBAULT: Equicontinuity of families of convex and concave-convex operators, to appear.
M. JOUAK and L. THIBAULT: Directional derivatives and almost everywhere differentiability of biconvex and concave-convex operators, Math. Scand. to appear.
M. JOUAK and L. THIBAULT: Montonie généralisée et sous-différentiels de fonctions convexes vectorielles, Math. Operationforschung, to appear.
A.L. PERESSINI: Ordered topological vector spaces, Harper and Row, New York, 1971.
L. SCHARTZ: Sur le théorème du graphe fermé, C.R. Acad. Sci. Paris, sér.A, 263. (1966), 602–605.
W. SIERPINSKI: Sur les fonctions convexes mesurables, Fund. Math. 1 (1920), 125–129.
L. THIBAULT: Continuity of measurable convex and biconvex operators, Proc. Amer. Math. Soc. to appear.
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© 1984 Springer-Verlag
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Thibault, L. (1984). Continuity of measurable convex multifunctions. In: Salinetti, G. (eds) Multifunctions and Integrands. Lecture Notes in Mathematics, vol 1091. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098814
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DOI: https://doi.org/10.1007/BFb0098814
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