| 完备凸度量空间中两个映射的公共不动点的Ishikawa迭代强收敛定理 |
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| 引用本文： | 刘才贵.完备凸度量空间中两个映射的公共不动点的Ishikawa迭代强收敛定理[J].贵州师范大学学报(自然科学版),2007,25(3):66-68. |
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| 作者姓名： | 刘才贵 |
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| 作者单位： | 淮海工学院,东港学院,江苏,连云港,222069 |
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| 基金项目： | 国家自然科学基金
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淮海工学院院级科研资助项目 |
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| 摘 要： | 设C是完备凸度量空间(X,ρ)的一个非空闭凸子集,S,T是C上的两个自映射,在S,T具有性质(A)或(B)的条件下,当S,T生成的Ishikawa迭代序列强收敛时,则其收敛点为S与T的公共不动点;当S与T的公共不动点非空时,则由S,T生成的Ishikawa迭代序列强收敛到S,T的唯一公共不动点。文章的结论改善并推广了部分作者的相关结果。
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| 关 键 词： | 完备凸度量空间 公共不动点 Ishikawa迭代序列 |
| 文章编号： | 1004-5570（2007）03-0066-03 |
| 收稿时间： | 2006-11-14 |
| 修稿时间： | 2006年11月14 |
On the convergence of the Ishikawa iterates to a common fixed point of two mappings in complete convex metric spaces |
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| LIU Cai-gui.On the convergence of the Ishikawa iterates to a common fixed point of two mappings in complete convex metric spaces[J].Journal of Guizhou Normal University(Natural Sciences),2007,25(3):66-68. |
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| Authors: | LIU Cai-gui |
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| Institution: | Donggang School, Huaihai Institute of Technology, Lianyungang, Jiangsu 222069, China |
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| Abstract: | Let C be the nonempty convex subset of a complete convex metric space,S and T are two selfmappings on C and let S,T satisfy condition(A) or(B).If the Ishikawa iterate process from S and T converges,then the convergent point is the only common fixed point of S and T;if the common fixed point of S and T is nonempty,then the Ishikawa iterate process from S and T converges to the only common fixed point.The results presented in this paper improves and generates the related results in other paperssee:1,2,3,4,5,7,8]. |
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| Keywords: | convex metric space common fixed point Ishikawa iterates |
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