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.
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.