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Banach空间中广义Φ-伪压缩映象的迭代逼近 被引量：4

Iterative Approximation for Generalized Φ-pseudo Contractive Mappings in Banach Spaces
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摘要 在一般的Banach空间中,去掉对空间光滑性的严格要求,研究单值广义Φ-伪压缩映象的具误差的Ishikawa和Mann迭代序列的收敛性问题.使用了迭代的方法,得出具误差的Ishikawa迭代序列强收敛及强收敛于单值广义Φ-伪压缩映象的不动点的条件,改进、发展和推广了近年来文献中的一系列相应结果. In general Banach spaces without the strict condition of being uniformly smooth, the convergence problem of Ishikawa and Mann iterative processes with error for generalized Ф-pseudo contractive mappings with single value is studied. The condition for fixed point of this kind of mapping is got by using the iterative procedure. A series of corresponding results in recent papers are improved and extended based on the presented results.
作者 胡洪萍
机构地区 西安文理学院数学系
出处 《西安工业大学学报》 CAS 2008年第1期86-89,共4页 Journal of Xi’an Technological University
关键词 广义Ф-伪压缩映象 具误差的Ishikawa迭代序列 收敛性 generalized Ф-pseudo contractive type mappings Ishikawa iterative processes with error convergence
分类号 O177.91 [理学—基础数学]
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共引文献12

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二级引证文献3

西安工业大学学报
2008年 第1期

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