Journal of convex analysis, Tome 14 (2007) no. 3, pp. 479-514
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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/
@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
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.
