摘要
在无穷维Hillbert空间中研究了一类单调型变分不等式,把求单调型变分不等式解的问题转化为求强单调变分不等式的解,建立了一种新的迭代算法,并证明了由算法生成的迭代序列强收敛于单调变分不等式的解,从而推广了所列文献中的许多重要结果.
A class of variational inequalities with monotone type is studied in infinite dimensional Hillbert space. By using the auxiliary variational inequality technique, the problem for solving variational inequalities with monotone mapping is transferred to solving variational inequalities with strongly monotone mapping. By constructing a new iterative algorithm, it is proved that iterative sequence generated by the new algorithm converge strongly to the solutions of variational inequalities with monotone mapping. The results generalizes many important results in literature.
出处
《应用泛函分析学报》
CSCD
2004年第3期245-249,共5页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(19871059)
四川省教育厅基金([2000]25)
