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Articles

Newton’s method for variational inequality problems: Smale’s point estimate theory under the γ-condition

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Pages 44-55 | Received 22 Sep 2013, Accepted 08 Oct 2013, Published online: 05 Nov 2013
 

Abstract

In the present paper, we study Newton’s method for variational inequality problems. Under the -condition, the generalized -theory and -theory for Newton’s method are established. As an application, Smale’s point estimate theory for analytic mappings are given.

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Funding

The research of the first author is partially supported by an NSF [grant DMS-1203845] and Hong Kong RGC competitive earmarked research [grant 601410]. The research of the second author was partially supported by the National Natural Science Foundation of China [grant 11001241, 11371325] and by Zhejiang Provincial Natural Science Foundation of China [grant LY13A010011]. The research of the third author was partially supported by a grant from NSC of Taiwan [NSC 102-2221-E-037-004-MY3].

Notes

Dedicated to Professor Boris S. Mordukhovich on the occasion of his 65th Birthday.

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