| 关于非扩张映象的最近的公共不动点问题 |
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| 引用本文： | 张石生. 关于非扩张映象的最近的公共不动点问题[J]. 应用数学和力学, 2006, 27(7): 775-780 |
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| 作者姓名： | 张石生 |
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| 作者单位： | 宜宾学院 数学系,四川 宜宾 644007;2.四川大学 数学系,成都 610064 |
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| 基金项目： | 宜宾学院校科研和教改项目 |
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| 摘 要： | 利用粘性逼近方法，在自反Banach空间的框架下,研究无限族非扩张映象及对给定的压缩映象的迭代程序的收敛性问题．在适当的条件下，证明了该迭代序列强收敛于某一公共不动点,而且这一公共不动点也是自反Banach空间中某一变分不等式的唯一解．所得结果改进和推广了一些人的最新的结果．
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| 关 键 词： | 公共不动点 非扩张映象序列 粘性逼近 半闭原理 弱序列连续的对偶映象 正规对偶映象 |
| 文章编号： | 1000-0887（2006）07-0775-06 |
| 收稿时间： | 2004-12-03 |
| 修稿时间： | 2006-04-11 |
On the Problem of Nearest Common Fixed Point of Nonexpansive Mappings |
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| ZHANG Shi-sheng. On the Problem of Nearest Common Fixed Point of Nonexpansive Mappings[J]. Applied Mathematics and Mechanics, 2006, 27(7): 775-780 |
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| Authors: | ZHANG Shi-sheng |
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| Affiliation: | Department of Mathematics, Yibin University, Yibin, Sichuan 644007, P. R. China; |
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| Abstract: | The praise is by using the viscosity approximation method to study the cnvergence problem of the iterative scheme for an infinite family of onexpansive mappings and a given contractive mapping in a reflexive Banach space. Under suitable conditions, it was proved that the iterative sequence converges strongly to a common fixed point which was also the unique solution of some variational inequality in a reflexive Banach space. The results presented extend and improve some recent results. |
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| Keywords: | sequence of nonexpansive mappings viscosity approximation common fixed point de-n~-closed principle wealdy sequentially continuous duality mapping normalized duality mapping |
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