A System of Parametric Variational Inclusions with (H, η)-Monotone Operators

In this paper, by using a resolvent operator technique of (H,η)monotone mappings, we study the behavior and sensitivity of the solutions of the system of parametric variational inclusions with (H,η)monotone operators in Hilbert spaces. Our results extend and improve the main results obtained by Agarwal, Huang and Tan [R. P. Agarwal, N. J. Huang and M. Y. Tan, Sensitivity analysis for a new system of generalized nonlinear mixed quasi-variational inclusions, Appl. Math. Lett., 17(2004)345-352]. This research was supported by the National Natural Science Foundation of China ( Grant No. 10471159), the Science and Technology Research Project of Chinese Ministry of Education (Grant No.206123), the Education Committee project Research Foundation of Chongqing (Grant No. KJ070816) and the Postdoctoral Science Foundation of China (Grant No. 2005038133). 36 Jianwen Peng, Chun-Rong Qin and Xiao Ping Zheng