| Hilbert空间中m-增生算子的零点迭代算法 |
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| 引用本文： | 管维荣,郭金题,周海云,王少洁. Hilbert空间中m-增生算子的零点迭代算法[J]. 河北师范大学学报(自然科学版), 2007, 31(2): 163-166 |
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| 作者姓名： | 管维荣 郭金题 周海云 王少洁 |
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| 作者单位： | 军械工程学院,基础部,河北,石家庄,050003;河北经贸大学,数学与统计学学院,河北,石家庄,050061 |
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| 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.
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| 关 键 词： | m-增生算子 不动点 Hilbert空间 距离投影 |
| 文章编号： | 1000-5854(2007)02-0163-04 |
| 修稿时间： | 2006-04-24 |
Iteration Method Research for Zero Points of m-accretive Operators in Hilbert Space |
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| GUAN Wei-rong,GUO Jin-ti,ZHOU Hai-yun,WANG Shao-jie. Iteration Method Research for Zero Points of m-accretive Operators in Hilbert Space[J]. Journal of Hebei Normal University, 2007, 31(2): 163-166 |
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| Authors: | GUAN Wei-rong GUO Jin-ti ZHOU Hai-yun WANG Shao-jie |
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| Affiliation: | l .Department of Basic Courses,Ordnance Engineering CoUege,Hebei Shijiazhuang 050003,China; 2. College of Mathematics and Statisties,Hebei University of Economies and Trade,Hebei Shijiazhuang 050061 ,China |
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| Abstract: | 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. |
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| Keywords: | m-accretive operator fixed point Hilbert space metric projection |
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