求解变分不等式的Ishikawa类迭代算法
An Ishikawa Type Iterative Algorithm for Variational Inequality
摘要
本文讨论Banach空间中子集非紧的情况下的变分不等式数值解.提出了求解相应问题的Ishikawa类迭代算法,证明了算法的子列收敛性和全局收敛性.同时也证明了变分不等式解的存在性.
In this paper,we study the numerical solution for variational inequality in non- compact subset of Banach spaces. We construct an Ishikawa type iterative algorithm and analyze convergence of the subsequence and the global convergence of the algorithm. Meanwhile, we indirectly prove the existence of the solution for variational inequality.
出处
《应用数学》
CSCD
北大核心
2009年第4期737-742,共6页
Mathematica Applicata
基金
国家自然科学基金(10671060)
关键词
变分不等式
广义投影算子
Ishikawa类迭代
紧算子
Variational inequatlity
Generalized projection operator
Ishikawa type iterative algorithm
Compact operator
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