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非扩张映象的具误差的多步粘性迭代的收敛性
引用本文:胡洪萍,王琳琳.非扩张映象的具误差的多步粘性迭代的收敛性[J].纺织高校基础科学学报,2011,24(2):185-189.
作者姓名:胡洪萍  王琳琳
作者单位:西安文理学院数学系,陕西 西安,710065
基金项目:西安文理学院科研基金资助项目
摘    要:引入非扩张映象的具误差的多步粘性迭代,在一致光滑Banach空间框架下,得出了非扩张映象的具误差的多步粘性迭代序列的收敛性及强收敛于其不动点的条件.将一步粘性迭代推广到具误差项的多步迭代,使迭代更符合实际.其结果推广和发展了最新的相应结果.

关 键 词:一致光滑Banach空间  非扩张映象  具误差的多步粘性迭代算法  不动点

Convergences of multi-step viscous iterative algorithm with errors for nonexpansive mappings
HU Hong-ping,WANG Lin-lin.Convergences of multi-step viscous iterative algorithm with errors for nonexpansive mappings[J].Basic Sciences Journal of Textile Universities,2011,24(2):185-189.
Authors:HU Hong-ping  WANG Lin-lin
Affiliation:HU Hong-ping,WANG Lin-lin(Department of Mathematics,Xi'an University of Arts and Science,Xi'an 710065,China)
Abstract:The convergences of multi-step viscous iterative sequences with errors were obtained for nonexpansive mappings and the conditions of this sequences which strongly converge fixed points were received in uniformly smooth Banach space by introduction of multi-step viscous iterative sequences with errors for nonexpansive mappings.The multi-step iterative sequences with errors were promoted for actual needs.The latest results were developed.
Keywords:uniformly smooth Banach space  nonexpansive mappings  multi-step viscous iterative algorithm with errors  fixed points  
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