Banach空间中带误差修改的不动点迭代逼近

刘洁, 赵秀兰

数学学报 ›› 2016, Vol. 59 ›› Issue (6) : 767-774.

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PDF(379 KB)
数学学报 ›› 2016, Vol. 59 ›› Issue (6) : 767-774. DOI: 10.12386/A2016sxxb0068
论文

Banach空间中带误差修改的不动点迭代逼近

    刘洁, 赵秀兰
作者信息 +

Modified Iterative Approximations of Fixed Points with Errors in Banach Spaces

    Jie LIU, Xiu Lan ZHAO
Author information +
文章历史 +

摘要

对Banach空间中一致L-Lipschitz映射带误差修改的Ishikawa迭代序列和带误差的修改的Mann迭代序列强收敛的充要条件进行了研究,所得结果改进和推广了最近文献中的一些相应结果.

Abstract

The sufficient and necessary conditions are studied on the strong convergence of the modified Ishikawa iterative sequence with errors and the modified Mann iterative sequence with errors for uniformly L-Lipschitz mappings in Banach spaces. The results of this paper improve and extend some corresponding results in the recent literature.

关键词

一致L-Lipschitz映射 / 渐近非扩张映射 / 带误差修改的迭代序列 / 不动点 / Banach空间

Key words

uniformly L-Lipschitz mapping / asymptotically nonexpansive mapping / modified iterative sequence with error / fixed point

引用本文

导出引用
刘洁, 赵秀兰. Banach空间中带误差修改的不动点迭代逼近. 数学学报, 2016, 59(6): 767-774 https://doi.org/10.12386/A2016sxxb0068
Jie LIU, Xiu Lan ZHAO. Modified Iterative Approximations of Fixed Points with Errors in Banach Spaces. Acta Mathematica Sinica, Chinese Series, 2016, 59(6): 767-774 https://doi.org/10.12386/A2016sxxb0068

参考文献

[1] Chang S. S., On Chidume's open questions and approximation solutions of multi-valued strongly accretive mapping equation in Banach space, J. Math. Anal. Appl., 1997, 216:94-111.
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[6] Tang Y. C., Liu L. W., Iterative appoximations of fixed points for asymptotically pseudo-contractive map-pings in normed linear spaces, J. Acta Math. Appl. Sinica, 2007, 30:810-815.
[7] Xiang C. H., Iterative approximation of fixed points of ssymptotically pseudo-contractive mappings, J. Southwest China Normal Univ., 2007, 32(5):6-9.
[8] Xiang C. H., A necessary and sufficient condition for the iterative sequence convergence to the fixed point of uniformly L-Lipschitzian asymptotically quasi pseudo-contractive type mapping, J. Systems Science and Math. Sci., 2008, 28:447-455.
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基金

河南省教育厅科学技术研究项目(14B110024);郑州市科技局项目(20141375)

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