Department of Mathematics, Zhaoqing University, Zhaoqing, Guangdong 526061, China
Copyright © 2009 Qun Luo. 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.
The concept of essential component of weakly efficient solution set is introduced first. Then we obtain some sufficient
conditions for the existence of an essential component or an essential weakly efficient solution in the weakly efficient solution sets
for multiobjective optimization problems.