Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840759 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 19 Pages |
Abstract
In this paper, we identify a favorable class of nonsmooth functions for which local weak sharp minima can be completely characterized in terms of normal cones and subdifferentials, or tangent cones and subderivatives, or their mixture in finite-dimensional spaces. The results obtained not only extend previous ones in the literature, but also allow us to provide new types of criteria for local weak sharpness. Applications of the developed theory are given to semi-infinite programming and to a new class of semi-infinite complementarity problems.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Jinchuan Zhou, Boris S. Mordukhovich, Naihua Xiu,