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广义Φ-伪压缩型映像迭代序列的收敛性问题 被引量:3

On the convergence problems of iterative processes for generalized Φ-pseudo contractive mappings
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摘要 引入了广义Φ-伪压缩型映像的概念.使用迭代方法,研究此类映像具误差的Ishikawa和Mann迭代序列收敛性问题.得出具误差的Ishikawa迭代序列强收敛定理,及此迭代强收敛于广义Φ-伪压缩型映像的不动点的条件,改进、发展和推广了近几年相关文献的一系列结果. The concept of generalized Ф-pseudo contractive type mappings is introduced. The iterative procedure is used for studying Ishikawa and Mann iterative processes with error for this kind of map- pings. Theroam of Ishikawa iterative processes with error and the fixed point′s condition of the iterative processes strongly converged generalized Ф-pseudo contractive type mappings is got. Many related research results are improved and extended.
作者 胡洪萍
出处 《纺织高校基础科学学报》 CAS 2007年第4期400-403,共4页 Basic Sciences Journal of Textile Universities
基金 西安文理学院专项科研基金资助项目(KY200525)
关键词 广义Ф-伪压缩型映像 具误差的Ishikawa迭代序列 一致光滑BANACH空间 收敛性 generalized Ф-pseudo contractive type mappings Ishikawa iterative processes with error u-niformly smooth Banach space convergence
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参考文献12

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