Research Article System of Generalized Implicit Vector Quasivariational Inequalities
Jian-Wen Peng, Xiaoping Zheng · 2007
We will introduce a system of generalized implicit vector quasivariational inequalities (in short, SGIVQVI) which generalizes and unifies the system of generalized implicit varia-tional inequalities, the system of generalized vector quasivariational-like inequalities, the system of generalized vector variational inequalities, the system of variational inequali-ties, the generalized implicit vector quasivariational inequality, as well as various exten-sions of the classic variational inequalities in the literature, and we present some existence results of a solution for the SGIVQVI without any monotonicity conditions. Copyright © 2007 J.-W. Peng and X.-P. Zheng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, dis-tribution, and reproduction in any medium, provided the original work is properly cited. 1.