| 2个有限族广义依中心意义的渐近非扩张非自映像公共不动点定理 |
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| 引用本文： | 王元恒,石惠敏.2个有限族广义依中心意义的渐近非扩张非自映像公共不动点定理[J].浙江大学学报(理学版),2014,41(3):282-287. |
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| 作者姓名： | 王元恒 石惠敏 |
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| 作者单位： | 浙江师范大学数学系; |
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| 基金项目： | 国家自然科学基金资助项目(No.11271330);浙江省自然科学基金资助项目(No.Y6110270) |
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| 摘 要： | 在任意实的Banach空间中,对于2个有限族广义依中心意义的渐近非扩张非自映像,引入了一种新的带误差修正的广义Ishikawa迭代序列.并在适当条件下,多次巧妙地应用数学归纳法等工具,证明了该迭代序列强收敛于2个映像族的公共不动点.其结果改进和推广了近代许多相关的结果.
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| 关 键 词： | 广义依中心意义渐近非扩张非自映像 带误差修正的广义Ishikawa迭代序列 不动点 强收敛 |
| 收稿时间： | 2013-06-17; |
Common fixed point theorems for two finite families of generalized asymptotically nonexpansive nonself-maps with the intermediate sense |
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| WANG Yuanheng,SHI Huimin.Common fixed point theorems for two finite families of generalized asymptotically nonexpansive nonself-maps with the intermediate sense[J].Journal of Zhejiang University(Sciences Edition),2014,41(3):282-287. |
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| Authors: | WANG Yuanheng SHI Huimin |
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| Institution: | (Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang Provinve , China) |
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| Abstract: | In an arbitrary real Banach space, a new modified generalized Ishikawa iterative sequence with error is introduced for two finite families of generalized asymptotically nonexpansive nonself-maps with the intermediate sense. By using ingeniously mathematical induction, under suitable conditions, it is proved that the iterative sequence con verges strongly to a common fixed point of the two finite families of the maps. The results extend and improve some corresponding related results of other authors. |
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| Keywords: | generalized asymptotically nonexpansive nonself-map with the intermediate sense modified generalized Ishikawa iterative sequence with error~ fixed point strong convergence |
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