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New characterizations of weak sharp minima

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Abstract

In this paper, we study the concept of weak sharp minima by using conjugate functions. Not only some well-known results can be obtained in this unified way, but also new characterizations are developed. Finally, under rather weak conditions, we establish the finite termination property for convex programming and variational inequality problem, respectively.

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Correspondence to Jinchuan Zhou.

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Zhou, J., Wang, C. New characterizations of weak sharp minima. Optim Lett 6, 1773–1785 (2012). https://doi.org/10.1007/s11590-011-0369-0

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  • DOI: https://doi.org/10.1007/s11590-011-0369-0

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