International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 15, Pages 2409-2420
doi:10.1155/IJMMS.2005.2409

On existence of a solution for the system of generalized vector quasi-equilibrium problems with upper semicontinuous set-valued maps

Jianwen Peng and Xinmin Yang

College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China

Abstract

We introduce a new model of the system of generalized vector quasi-equilibrium problems with upper semicontinuous set-valued maps and present several existence results of a solution for this system of generalized vector quasi-equilibrium problems and its special cases. The results in this paper extend and improve some results in the literature.