Hilbert空间中m-增生算子的零点迭代算法  

Iteration Method Research for Zero Points of m-accretive Operators in Hilbert Space

作　　者：管维荣[1] 郭金题[2] 周海云[1] 王少洁[1] 

机构地区：[1]军械工程学院基础部,河北石家庄050003 [2]河北经贸大学数学与统计学学院,河北石家庄050061

出　　处：《河北师范大学学报（自然科学版）》2007年第2期163-166,共4页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(10471033)

摘　　要：在Mann的迭代算法基础上,通过引入算子的预解式,将Hilbert空间中求算子的零点问题转化为解算子不动点问题;同时运用距离投影,使每次迭代生成的序列都在一个闭凸的集合中,并证明了修改后的算法的强收敛性.Based on Mann iteration method, the problem of solving zero points of the operator is converted into the one of solving its fixed points by introducing its resolvent in Hilbert spaces. Meanwhile, the sequence generated by an iteration is located in a closed and convex set by using the metric projection. The strong convergence of the revised method is proved.

关 键 词：M-增生算子 不动点 HILBERT空间 距离投影 

分 类 号：O177.91[理学—数学]