| 摘要: |
| 研究实 Hilbert空间中寻求可列个一致Lipschitz伪压缩映像之公共不动点的三步混合粘性逼近法的收敛性.在缺乏它们的一致闭条件下,建立了该方法的强收敛定理.所得定理改进与推广了文献中早期与最近的有关结果. |
| 关键词: 伪压缩映像 一致Lipschitz映像 强收敛 不动点 粘性逼近法 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Strong convergence theorems for a countable family of pseudocontractions in Hilbert spaces |
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KONG Zhaorong
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Economics Management Department,Shanghai University of Political Science and Law
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| Abstract: |
| This paper is devoted to the convergence analysis of a three step hybrid viscosity approximation method for finding a common fixed point of a countable family {Tn}n≥1 of uniformly Lipschitz pseudocontractions in a real Hilbert space.Without uniformly closed condition of {Tn}n≥1,we establish some strong convergence theorems for this method.The results presented in this paper improve and extend the corresponding results in the earlier and recent literature. |
| Key words: pseudocontraction uniformly lipschitz strong convergence fixed point viscosity approximation method |
