Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 928968, 8 pages
Research Article

A Note on Essential Components and Essential Weakly Efficient Solutions for Multiobjective Optimization Problems

Department of Mathematics, Zhaoqing University, Zhaoqing, Guangdong 526061, China

Received 19 June 2009; Revised 21 September 2009; Accepted 24 November 2009

Academic Editor: Paolo Ricci

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.