应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2009年
4期
737-742
,共6页
变分不等式%广义投影算子%Ishikawa类迭代%紧算子
變分不等式%廣義投影算子%Ishikawa類迭代%緊算子
변분불등식%엄의투영산자%Ishikawa류질대%긴산자
Variational inequality%Generalized projection operator%Ishikawa type itera-tive algorithm%Compact operator
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.
本文討論Banach空間中子集非緊的情況下的變分不等式數值解.提齣瞭求解相應問題的Ishikawa類迭代算法,證明瞭算法的子列收斂性和全跼收斂性.同時也證明瞭變分不等式解的存在性.
본문토론Banach공간중자집비긴적정황하적변분불등식수치해.제출료구해상응문제적Ishikawa류질대산법,증명료산법적자렬수렴성화전국수렴성.동시야증명료변분불등식해적존재성.
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.
