Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 154598, 10 pages
doi:10.1155/2010/154598
Research Article

Weak ψ-Sharp Minima in Vector Optimization Problems

S. Xu and S. J. Li

College of Mathematics and Statistics, Chongqing University, Chongqing 400030, China

Received 23 April 2010; Revised 15 July 2010; Accepted 13 August 2010

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.

Abstract

We present a sufficient and necessary condition for weak ψ-sharp minima in infinite-dimensional spaces. Moreover, we develop the characterization of weak ψ-sharp minima by virtue of a nonlinear scalarization function.