Journal of Convex Analysis 14 (2007), No. 3, 479--514
Copyright Heldermann Verlag 2007
Continuity Properties for the Subdifferential and ε-Subdifferential of a Convex Function and its Conjugate
A. K. Chakrabarty
Indian Institute of Technology, Dept. of Mathematics, Kanpur 208016, India
P. Shunmugaraj
Indian Institute of Technology, Dept. of Mathematics, Kanpur 208016, India
psraj@iitk.ac.in
Constantin Zalinescu
University "Al. I. Cuza", Faculty of Mathematics, Bd. Copou Nr. 11, 6600 Iasi, Romania
zalinesc@uaic.ro
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.
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