Academic Editor: Sin E. Takahasi
Copyright © 2011 Zhiang Zhou. 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.
Firstly, a generalized weak convexlike set-valued map involving the relative
interior is introduced in separated locally convex spaces. Secondly, a separation
property is established. Finally, some optimality conditions, including the generalized
Kuhn-Tucker condition and scalarization theorem, are obtained.