New characterizations of weak sharp minima

New characterizations of weak sharp minima

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Article ID: iaor20127299
Volume: 6
Issue: 8
Start Page Number: 1773
End Page Number: 1785
Publication Date: Dec 2012
Journal: Optimization Letters
Authors: ,
Keywords: programming: convex
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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