Copyright © 2010 Weixiang Wang et al. 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.
A novel filled function is given in this paper to find a global minima for a nonsmooth
constrained optimization problem. First, a modified concept of the filled function for nonsmooth
constrained global optimization is introduced, and a filled function, which makes use of the idea of
the filled function for unconstrained optimization and penalty function for constrained optimization, is
proposed. Then, a solution algorithm based on the proposed filled function is developed. At
last, some preliminary numerical results are reported. The results show that the proposed approach