摘要
本文在 Hilbert 空间内研究了广义变分不等式和补问题解的存在性及其迭代方法.证明了 Mann型迭代序列收敛于这些问题的解.本文的定理从空间、映象类和迭代方法等几个方面改进和推广了Fang-Peterson 和 Siddiqi-Ansari 的主要结果.
We consider the existence and iterative methods of solutions for generalized variational inequalities and the Complemen- tarity problem in Hilbert spaces.We show that the Mann's Iteration processes converge to solutions of these probems.Our theo- rems improve and generalize the main results of Fang-Peterson and Siddiqi-Ansari in the following several aspects:spaces, classes of mappings and the iteration scheme.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
1991年第3期1-5,共5页
Journal of Sichuan Normal University(Natural Science)
基金
国家自然科学基金