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一致L-lipschitz渐近伪压缩映象的三重迭代解
引用本文:安雪梅.一致L-lipschitz渐近伪压缩映象的三重迭代解[J].雁北师范学院学报,2007,23(3):8-10.
作者姓名:安雪梅
作者单位:河北机电职业技术学院基础课教学部,河北邢台054048
摘    要:该文在一般Banach空间中研究了渐近伪压缩映象方程具误差的三重迭代解的逼近问题.把文中证明所用下确界改为下极限,保证了必有一点列收敛.本证明还改进了文献2]中的主要结果,证明方法也不同于2]中给出的.

关 键 词:任意实Banach空间  渐近非扩张映象  三重迭代
文章编号:1674-0874(2007)03-0008-03
收稿时间:2007-10-10

Three-step lterative Solutions of Operator Equations for Uniformly L-lipschitz Asymptotically Pseudo-contractive Mappings
AN Xue-mei.Three-step lterative Solutions of Operator Equations for Uniformly L-lipschitz Asymptotically Pseudo-contractive Mappings[J].Journal of Yanbei Teachers College,2007,23(3):8-10.
Authors:AN Xue-mei
Abstract:In this paper, I am going to study three-step iterative solutions of equations for Asymptotically Pseudo-contractive mappings. My research have generalized the iterative methods of reference from two-step iteration to three-step iteration .I modified the infimum to inferior limit in the provement of reference, so we must find one sequence that converges to one number; moreover my research will improve the main results in reference2], the reasoning methods in my paper are not the same as reference 2].
Keywords:
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