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实Banach空间中渐进伪压缩映像的迭代序列
引用本文:孙昭洪,陈新明,倪永勤. 实Banach空间中渐进伪压缩映像的迭代序列[J]. 仲恺农业技术学院学报, 2009, 22(2): 22-27
作者姓名:孙昭洪  陈新明  倪永勤
作者单位:1. 仲恺农业工程学院计算科学系,广东广州,510225
2. 玉溪师范学院物理系,云南玉溪,653100
摘    要:利用新的途径和逼近分法研究了在任意实Banach空间中的渐进伪压缩映像和渐进非扩张映像的修正和具误差的Ishikawa和Mann迭代序列的收敛问题,拓展了一些最近的研究成果.

关 键 词:渐进非扩张映像  渐进伪压缩映像  任意实Bamch空间  修正和具误差的Ishikuwa迭代序列  不动点

Iterative sequences for asymptotically pseudo-contractive mappings in arbitrary real Banach spaces
SUN Zhao-hong,CHEN Xin-ming,NI Yong-qin. Iterative sequences for asymptotically pseudo-contractive mappings in arbitrary real Banach spaces[J]. Journal of Zhongkai Agrotechnical College, 2009, 22(2): 22-27
Authors:SUN Zhao-hong  CHEN Xin-ming  NI Yong-qin
Abstract:A new route and a new approximation method was used to study the convergent problems of both the modified Ishikawa and the modified Mann iterative sequences with errors for asymptotically pseudocontractive and asymptotically nonexpansive mappings in arbitrary real Banach spaces. Some re-cent study results were extended improvely.
Keywords:asymptotically nonexpansive mapping  asymptotically pseudocontractive mappingi arbitraryBanach space  modified Ishikawa iterative sequence with errors  fixed point
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