Continuity Properties for the Subdifferential and ε-Subdifferential of a Convex Function and its Conjugate
Journal of convex analysis, Tome 14 (2007) no. 3, pp. 479-514
Cet article a éte moissonné depuis la source Heldermann Verlag
We study several continuity properties of the subdifferential and ε-subdifferential of a convex function as well as of its conjugate. Many of these properties correspond to similar properties studied previously for the duality and preduality mappings in Banach spaces.
@article{JCA_2007_14_3_JCA_2007_14_3_a2,
author = {A. K. Chakrabarty and P. Shunmugaraj and C. Zalinescu},
title = {Continuity {Properties} for the {Subdifferential} and {\ensuremath{\varepsilon}-Subdifferential} of a {Convex} {Function} and its {Conjugate}},
journal = {Journal of convex analysis},
pages = {479--514},
year = {2007},
volume = {14},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JCA_2007_14_3_JCA_2007_14_3_a2/}
}
TY - JOUR AU - A. K. Chakrabarty AU - P. Shunmugaraj AU - C. Zalinescu TI - Continuity Properties for the Subdifferential and ε-Subdifferential of a Convex Function and its Conjugate JO - Journal of convex analysis PY - 2007 SP - 479 EP - 514 VL - 14 IS - 3 UR - http://geodesic.mathdoc.fr/item/JCA_2007_14_3_JCA_2007_14_3_a2/ ID - JCA_2007_14_3_JCA_2007_14_3_a2 ER -
%0 Journal Article %A A. K. Chakrabarty %A P. Shunmugaraj %A C. Zalinescu %T Continuity Properties for the Subdifferential and ε-Subdifferential of a Convex Function and its Conjugate %J Journal of convex analysis %D 2007 %P 479-514 %V 14 %N 3 %U http://geodesic.mathdoc.fr/item/JCA_2007_14_3_JCA_2007_14_3_a2/ %F JCA_2007_14_3_JCA_2007_14_3_a2
A. K. Chakrabarty; P. Shunmugaraj; C. Zalinescu. Continuity Properties for the Subdifferential and ε-Subdifferential of a Convex Function and its Conjugate. Journal of convex analysis, Tome 14 (2007) no. 3, pp. 479-514. http://geodesic.mathdoc.fr/item/JCA_2007_14_3_JCA_2007_14_3_a2/