A NEW SELF-ADAPTIVE ITERATIVE METHOD FOR GENERAL MIXED QUASI VARIATIONAL INEQUALITIES  

作　　者：Abdellah Bnouhachem Mohamed Khalfaoui Hafida Benazza 

机构地区：[1]School of Management Science and Engineering, Nanjing University [2]Ecole Supérieure de Technologie de Salé, Mohamed 5 University of Science, Agdal-Rabat,Morocco

出　　处：《Acta Mathematica Scientia》2008年第3期685-696,共12页数学物理学报（B辑英文版）

基　　金：This research was supported by MOEC (20060284001);NSFC (70371019 and 10571083);supported partly by NSFC 70571034

摘　　要：The general mixed quasi variational inequality containing a nonlinear term φ is a useful and an important generalization of variational inequalities. The projection method can not be applied to solve this problem due to the presence of nonlinear term. It is well known that the variational inequalities involving the nonlinear term φ are equivalent to the fixed point problems and resolvent equations. In this article, the authors use these alternative equivalent formulations to suggest and analyze a new self-adaptive iterative method for solving general mixed quasi variational inequalities. Global convergence of the new method is proved. An example is given to illustrate the efficiency of the proposed method.The general mixed quasi variational inequality containing a nonlinear term φ is a useful and an important generalization of variational inequalities. The projection method can not be applied to solve this problem due to the presence of nonlinear term. It is well known that the variational inequalities involving the nonlinear term φ are equivalent to the fixed point problems and resolvent equations. In this article, the authors use these alternative equivalent formulations to suggest and analyze a new self-adaptive iterative method for solving general mixed quasi variational inequalities. Global convergence of the new method is proved. An example is given to illustrate the efficiency of the proposed method.

关 键 词：General mixed quasi variational inequalities self-adaptive rules resolvent operator 

分 类 号：O178[理学—数学]