Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 59387, 11 pages

Generalized vector quasi-variational-like inequalities

Jian-Wen Peng1,2 and Xin-Min Yang1

1College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China
2Department of Mathematics, Inner Mongolia University, Hohhot 010021, China

Received 14 September 2004; Revised 11 November 2004; Accepted 17 November 2004

Copyright © 2006 Jian-Wen Peng and Xin-Min Yang. 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.


Using maximal element theorem, we prove some existence theorems for the two types of generalized vector quasi-variational-like inequalities with non-monotonicity and non-compactness.