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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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

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 14 (2007), No. 3, 479–514.