| 有限多个集值映象公共不动点的修正的Mann迭代程序 |
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| 引用本文： | 金燕群,曾六川. 有限多个集值映象公共不动点的修正的Mann迭代程序[J]. 上海师范大学学报(自然科学版), 2008, 37(2): 131-136 |
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| 作者姓名： | 金燕群 曾六川 |
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| 作者单位： | 上海师范大学,数理信息学院,上海,200234;上海师范大学,数理信息学院,上海,200234 |
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| 摘 要： | 研究用于寻求有限多个集值似Ф-伪压缩映象公共不动点的修正的Mann迭代程序．在似广义Lipschitzian条件下证明了分别在Hilbea空间与一致光滑Banach空间中由修正的Mann迭代程序生成的序列强收敛到这有限多个集值似Ф-伪压缩映象唯一的公共不动点.
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| 关 键 词： | 修正的Mann迭代程序 集值似φ-伪压缩映象 公共不动点 似广义Lischitzian条件 强收敛性 |
| 文章编号： | 1000-5137(2008)02-0131-06 |
| 修稿时间： | 2007-04-05 |
On the modified mann iterative procedure for finding common fixed points of finitely many set-valued mappings |
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| JIN Yan-qun,ZENC Lu-chuan. On the modified mann iterative procedure for finding common fixed points of finitely many set-valued mappings[J]. Journal of Shanghai Normal University(Natural Sciences), 2008, 37(2): 131-136 |
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| Authors: | JIN Yan-qun ZENC Lu-chuan |
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| Affiliation: | (College of Mathematics and Sciences, Shanghai Normal University, Shanghai 200234, China) |
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| Abstract: | We study the modified Mann iterative procedure for finding common fixed points of finitely many set-valued Ф-pseudo- contractive-like mappings. It is shown that under the generalized-Lipschitzian-like condition the sequence generated by the modified Mann iterative procedure converges strongly to the unique common fixed point of these finitely many set-valued Ф -pseudocontractive-like mappings in a Hilbert space and in a uniformly smooth Banach space, respectively. |
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| Keywords: | modified mann iterative procedure set-valued Ф -pseudocontractive-like mapping common fixed point generalizedlipschitzian-like condition strong convergence |
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