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广义变分不等式的一类迭代算法
AN ITERATIVE SCHEME FOR GENERALIZED VARIATIONAL INEQUALITIES
【摘要】 利用Hilbert空间中闭凸集上的投影算子 ,构造涉及多值映射的广义变分不等式的一类迭代算法。并证明迭代序列强收敛于广义变分不等式的解 ,同时给出误差估计
【Abstract】 Using the projection operator on a closed convex subset in Hilbert spaces,we give an iterative scheme for a class of generalized variational ineualities involving set-valued mappings,and prove that the iterative sequences converge strongly to a solution of the generalized variational inequalities,and obtain the error estimate between the iterative sequences and the solution.
【关键词】 变分不等式;
集值映射;
投影算子;
迭代算法;
【Key words】 variational inequality; set-valued mapping; projection operator,iterative scheme;
【Key words】 variational inequality; set-valued mapping; projection operator,iterative scheme;
【基金】 江西省自然科学基金资助项目 (Z99110 2 4 )
- 【文献出处】 南昌大学学报(理科版) ,Journal of Nanchang University(Natural Science) , 编辑部邮箱 ,2001年03期
- 【分类号】O178
- 【被引频次】2
- 【下载频次】56