一般混合集值拟变分不等式的预估-校正算法  

Predictor-corrector method for multivalued general mixed quasi variational inequalities

作　　者：江莉[1] 

机构地区：[1]青岛科技大学数理系,山东青岛266042

出　　处：《陕西理工学院学报（自然科学版）》2006年第4期91-94,共4页Journal of Shananxi University of Technology:Natural Science Edition

摘　　要：利用辅助原理提出了一种解一般混合集值拟变分不等式的预估-校正算法。如果混合集值拟变分不等式中的双函数是斜对称的,则新算法的收敛性只要求映射是g-局部放松强单调的即可,这是一个比g-强制性更弱的条件。In this paper,a new predictor-corrector method for solving muhivalued general mixed quasi variational inequalities is presented by using the auxiliary principle technique. If the bifunction involving the muhivalued general mixed quasi variational inequalities is skew-symmetric, then it is shown that the convergence of the new method requires the partically relaxed strong monotonicity property of the operator,which is a weaker condition than cocoecivity.

关 键 词：变分不等式 辅助原理 预估-校正算法 收敛性 

分 类 号：O177.0[理学—数学]