Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 231845, 8 pages
doi:10.1155/2008/231845
Research Article

Some Characterizations of Ideal Points in Vector Optimization Problems

Yan-Fei Chai,1 Yeol Je Cho,2 and Jun Li1

1School of Mathematics and Information, China West Normal University, Nanchong, Sichuan 637002, China
2Department of Mathematics Education and Research Institute of Natural Sciences, Gyeongsang National University, Chinju 660-701, South Korea

Received 25 December 2007; Accepted 4 February 2008

Academic Editor: Ram Verma

Copyright © 2008 Yan-Fei Chai et al. 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.

Abstract

Several relations between (proper) ideal points and (weakly, positive proper, general positive) efficient points are derived in real linear spaces. Moreover, some sufficient conditions for the existence of proper ideal points and positive proper efficient points are proved under certain assumptions.