Geodesic
On Monge's Problem for Bregman-like Cost Functions
Journal of convex analysis, Tome 14 (2007) no. 3, pp. 647-655.

Voir la notice de l'article provenant de la source Heldermann Verlag

We consider Monge's optimal transportation in the case where the transportation cost is the symmetric part of the Bregman distance associated to some smooth and strictly convex function. We prove existence, uniqueness and characterize the solutions. 
@article{JCA_2007_14_3_JCA_2007_14_3_a9,
     author = {G. Carlier and C. Jimenez},
     title = {On {Monge's} {Problem} for {Bregman-like} {Cost} {Functions}},
     journal = {Journal of convex analysis},
     pages = {647--655},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2007},
     url = {http://geodesic.mathdoc.fr/item/JCA_2007_14_3_JCA_2007_14_3_a9/}
}
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G. Carlier; C. Jimenez. On Monge's Problem for Bregman-like Cost Functions. Journal of convex analysis, Tome 14 (2007) no. 3, pp. 647-655. http://geodesic.mathdoc.fr/item/JCA_2007_14_3_JCA_2007_14_3_a9/