关于混合拟似变分包含问题的解的迭代算法  

Algorithm of Solutions for Mixed Quasi-Variational-Like Inclusions in Banach Space

作　　者：胡梦瑜[1] 陈珊敏[1] 

机构地区：[1]上海东华大学理学院

出　　处：《应用数学》2006年第4期812-817,共6页Mathematica Applicata

摘　　要：本文对混合拟似变分包含问题提出新的辅助变分不等式,首先证明辅助变分不等式存在唯一解.然后,通过这一辅助形式建立混和拟似变分包含问题解的迭代算法.最后讨论在新的算法下迭代解的收敛性.This paper presents a new auxiliary variational inequality for solving mixed quasi-variational-like inclusions. First, proved the auxiliary variational inequality has unique solution. Then using this auxiliary variational inequality, established the iterative algorithm for mixed quasi-variational-like inclusion. Finally, discussed the convergence of iterative approximate solution sequence.

关 键 词：混和拟似变分包含问题 辅助变分不等式 迭代算法 BANACH空间 

分 类 号：O177.91[理学—数学]