Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 93532, 14 pages

On D-preinvex-type functions

Jian-Wen Peng1,2 and Dao-Li Zhu1

1Department of Management Science, School of Management, Fudan University, Shanghai 200433, China
2College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China

Received 7 April 2006; Revised 10 July 2006; Accepted 26 July 2006

Copyright © 2006 Jian-Wen Peng and Dao-Li Zhu. 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.


Some properties of D-preinvexity for vector-valued functions are given and interrelations among D-preinvexity, D-semistrict preinvexity, and D-strict preinvexity for vector-valued functions are discussed.