International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 11, Pages 1795-1807
doi:10.1155/IJMMS.2005.1795
Sensitivity analysis of solutions for a system of generalized parametric nonlinear quasivariational inequalities
Zeqing Liu1
, Beibei Zhu1
, Shin Min Kang3
and Gwang Il Kim3
1Department of Mathematics, Liaoning Normal University, P.O. Box 200, Liaoning, Dalian 116029, China
3Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea
Abstract
A new class of system of generalized parametric nonlinear quasivariational inequalities involving various classes of mappings is introduced and studied. With the properties of maximal monotone mappings, the equivalence between the class of system of generalized parametric nonlinear quasivariational inequalities and a class of fixed point problems is proved and an iterative algorithm with errors is constructed. A few existence and uniqueness results and sensitivity analysis of solutions are also established for the system of generalized nonlinear parametric quasivariational inequalities and some convergence results of iterative sequence generated by the algorithm with errors are proved.