| 有限个渐近拟非扩张映象迭代序列强收敛定理 |
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| 引用本文： | 王丽萍,魏利,肖卓峰.有限个渐近拟非扩张映象迭代序列强收敛定理[J].吉首大学学报(自然科学版),2005,26(3):20-22. |
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| 作者姓名： | 王丽萍 魏利 肖卓峰 |
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| 作者单位： | 河北师范大学数学与信息科学学院,河北,石家庄,050016;河北经贸大学数学与统计学学院,河北,石家庄,050061;河北师范大学附属民族学院,河北,石家庄,050091 |
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| 基金项目： | 国家自然科学基金资助项目（10471033） |
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| 摘 要： | 研究了Banach空间中有限个渐近拟非扩张映象及拟一致L-lipschitz算子不动点的迭代逼近问题，并给出带误差的Ishikawa型迭代序列强收敛于其公共不动点的充要条件.
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| 关 键 词： | 渐近拟非扩张映象 拟一致L-lipschitz算子 Ishikawa型迭代格式 不动点 |
| 文章编号： | 1007-2985（2005）03-0020-03 |
| 收稿时间： | 2005-03-08 |
| 修稿时间： | 2005年3月8日 |
Strong Convergence Theorem of Iterative Sequence for a Family of Finite Asymptotically Quasi-Nonexpansive Mappings |
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| WANG Li-ping,WEI Li,XIAO Zhuo-feng.Strong Convergence Theorem of Iterative Sequence for a Family of Finite Asymptotically Quasi-Nonexpansive Mappings[J].Journal of Jishou University(Natural Science Edition),2005,26(3):20-22. |
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| Authors: | WANG Li-ping WEI Li XIAO Zhuo-feng |
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| Institution: | (1.College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang 050016,Hebei China;2.College of Mathematics and Statistics,Hebei University of Economics and Business,Shijiazhuang 050061,Hebei China;3.Academy of Accessorial National Minorities,Hebei Normal University,Shijiazhuang 050091,Hebei China) |
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| Abstract: | This paper studies the iterative approximation problem of fixed point for a family of finite asymptotically quasi-nonexpansive mappings and quasi-uniform L-lipschitz operators and gives the sufficient and necessary condition for the Ishikawa iterative sequence with errors strongly convergent to common fixed point. |
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| Keywords: | asymptotically quasi-nonexpanslve mappings quasi-uniform L-lipschitz operators modified Ishikawa iterative sequence fixed point |
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