Geodesic
Fitzpatrick Functions: Inequalities, Examples, and Remarks on a Problem by S. Fitzpatrick
Journal of convex analysis, Tome 13 (2006) no. 3, pp. 499-523.

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

In 1988, Simon Fitzpatrick defined a new convex function FA -- nowadays called the Fitzpatrick function -- associated with a monotone operator A, and similarly a monotone operator Gf associated with a convex function f.
Classification : 26B25, 47H05, 47H04, 52A41, 90C25
Mots-clés : Convex function, Fenchel conjugate, Fenchel-Young inequality, Fitzpatrick function, monotone operator, monotone set 
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     title = {Fitzpatrick {Functions:} {Inequalities,} {Examples,} and {Remarks} on a {Problem} by {S.} {Fitzpatrick}},
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H. H. Bauschke; D. A. McLaren; H. S. Sendov. Fitzpatrick Functions: Inequalities, Examples, and Remarks on a Problem by S. Fitzpatrick. Journal of convex analysis, Tome 13 (2006) no. 3, pp. 499-523. http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a3/