New results in subdifferential calculus with applications to convex optimization

Abstract

Chain and addition rules of subdifferential calculus are revisited in the paper and new proofs, providing local necessary and sufficient conditions for their validity, are presented. A new product rule pertaining to the composition of a convex functional and a Young function is also established and applied to obtain a proof of Kuhn-Tucker conditions in convex optimization under minimal assumptions on the data. Applications to plasticity theory are briefly outlined in the concluding remarks.

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Cite this paper

@inproceedings{Romano2005NewRI, title={New results in subdifferential calculus with applications to convex optimization}, author={Giovanni Romano}, year={2005} }