Auxiliary principle and three-step iterative algorithms for generalized set-valued strongly nonlinear mixed variational-like inequalities  

作　　者：徐海丽 郭兴明 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第6期721-729,共9页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.10472061)

摘　　要：An auxiliary principle technique to study a class of generalized set-valued strongly nonlinear mixed variational-like inequalities is extended. The existence and uniqueness of the solution of the auxiliary problem for the generalized set-valued strongly nonlinear mixed variational-like inequalities are proved, a novel and innovative three-step iterative algorithm to compute approximate solution is constructed, and the existence of the solution of the generalized set-valued strongly nonlinear mixed variational-like inequality is shown using the auxiliary principle iterative sequences generated by the algorithm technique. The convergence of three-step is also proved.An auxiliary principle technique to study a class of generalized set-valued strongly nonlinear mixed variational-like inequalities is extended. The existence and uniqueness of the solution of the auxiliary problem for the generalized set-valued strongly nonlinear mixed variational-like inequalities are proved, a novel and innovative three-step iterative algorithm to compute approximate solution is constructed, and the existence of the solution of the generalized set-valued strongly nonlinear mixed variational-like inequality is shown using the auxiliary principle iterative sequences generated by the algorithm technique. The convergence of three-step is also proved.

关 键 词：mixed variational-like inequality three-step iterative algorithm set-valued mapping auxiliary principle technique 

分 类 号：O176[理学—数学]