College of Mathematics and Statistics, Chongqing University, Chongqing 400030, China
Academic Editor: N. J. Huang
Copyright © 2010 S. Xu and S. J. Li. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We present a sufficient and necessary condition for weak -sharp minima in infinite-dimensional spaces. Moreover, we develop the characterization of weak -sharp minima by virtue of a nonlinear scalarization function.