Abdellaoui, Taoufiq Determination of an optimal couple in the Monge-Kantorovitch problem. (Détermination d’un couple optimal du problème de Monge-Kantorovitch.) (French) Zbl 0809.60003 C. R. Acad. Sci., Paris, Sér. I 319, No. 9, 981-984 (1994). Summary: We study the Monge-Kantorovitch transportation problem under a condition of regularity in \(P\). We suppose the law \(Q\) discrete to determine explicitly the function \(p\)-associated to \((P,Q)\). Then we use theorems of passage to any law \(Q\) to deduce an approximation of the function \(p\)- associated in this case to \((P,Q)\). Cited in 2 Documents MSC: 60B05 Probability measures on topological spaces Keywords:Monge-Kantorovitch transportation problem PDFBibTeX XMLCite \textit{T. Abdellaoui}, C. R. Acad. Sci., Paris, Sér. I 319, No. 9, 981--984 (1994; Zbl 0809.60003)