Abstract

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

Author information

Contact details are reproduced from the original publication and may be historical.

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 Zălinescu

University "Al. I. Cuza", Faculty of Mathematics, Bd. Copou Nr. 11, 6600 Iaşi, Romania

zalinesc@uaic.ro

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Suggested citation

A. K. Chakrabarty, P. Shunmugaraj, C. Zălinescu. “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. https://doi.org/10.68381/jca14031

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Published by Heldermann Verlag, 2007. Rights now held by Banach Press LLC.