Research Article
College of Sciences, Shanghai University, Shanghai 200444, China
Department of Applied Mathematics, Chongqing University of Technology, Chongqing 400054, China
Journal of Inequalities and Applications 2011, 2011:183297 doi:10.1155/2011/183297
The electronic version of this article is the complete one and can be found online at: http://www.journalofinequalitiesandapplications.com/content/2011/1/183297
| Received: | 26 October 2010 |
| Revisions received: | 25 December 2010 |
| Accepted: | 22 January 2011 |
| Published: | 8 February 2011 |
© 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.
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