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
Mots-clés : Convex function, Fenchel conjugate, Fenchel-Young inequality, Fitzpatrick function, monotone operator, monotone set
@article{JCA_2006_13_3_JCA_2006_13_3_a3,
author = {H. H. Bauschke and D. A. McLaren and H. S. Sendov},
title = {Fitzpatrick {Functions:} {Inequalities,} {Examples,} and {Remarks} on a {Problem} by {S.} {Fitzpatrick}},
journal = {Journal of convex analysis},
pages = {499--523},
publisher = {mathdoc},
volume = {13},
number = {3},
year = {2006},
url = {http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a3/}
}
TY - JOUR AU - H. H. Bauschke AU - D. A. McLaren AU - H. S. Sendov TI - Fitzpatrick Functions: Inequalities, Examples, and Remarks on a Problem by S. Fitzpatrick JO - Journal of convex analysis PY - 2006 SP - 499 EP - 523 VL - 13 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a3/ ID - JCA_2006_13_3_JCA_2006_13_3_a3 ER -
%0 Journal Article %A H. H. Bauschke %A D. A. McLaren %A H. S. Sendov %T Fitzpatrick Functions: Inequalities, Examples, and Remarks on a Problem by S. Fitzpatrick %J Journal of convex analysis %D 2006 %P 499-523 %V 13 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a3/ %F JCA_2006_13_3_JCA_2006_13_3_a3
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/