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| Banach空间中两个非扩张非自映象对公共不动点的逼近 | |
| 引用本文： | 赵良才,王刚,张石生.Banach空间中两个非扩张非自映象对公共不动点的逼近[J].数学的实践与认识,2006,36(10):254-258. |
| 作者姓名： | 赵良才 王刚 张石生 |
| 作者单位： | 1. 宜宾学院数学系,四川,宜宾,644007 2. 四川农业大学,四川,都江堰,611830 3. 宜宾学院数学系,四川,宜宾,644007;四川大学数学系,四川,成都,610064 |
| 基金项目： | 宜宾学院校科研和教改项目 |
| 摘 要： | 设E是一致凸的Banach空间,C是E的非空有界闭凸子集而且是E的非扩张收缩核.设S,T:C→E是两个非扩张非自映象.本文证明了,在一定条件下,由(1.1)式定义的序列{xn}分别弱和强收敛于S,T的公共不动点.本文结果也推广和改进了最近一些人的最新结果. |
| 关 键 词： | 非扩张的非自映象 半闭原理 公共不动点 |
| 修稿时间： | 2006年4月4日 |
Approximating Common Fixed Point of Two Non-self Nonexpansive Mappings in Banach Spaces |
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| ZHAO Liang-cai,WANG Gang,ZHANG Shi-sheng.Approximating Common Fixed Point of Two Non-self Nonexpansive Mappings in Banach Spaces[J].Mathematics in Practice and Theory,2006,36(10):254-258. | |
| Authors: | ZHAO Liang-cai WANG Gang ZHANG Shi-sheng |
| Abstract: | Let E be a real uniformly convex Banach space and C a nonempty closed convex subset of E which is also a nonexpansive retract of E.Let S,T:C→E be two nonexpansive mappings.It is shown that under some suitable conditions, the sequence {x_n} defined by(1.1) converges weakly and strongly to some common fixed point of S,T,respectively.The results presented in this paper also extend and improve some recent results. |
| Keywords: | nonexpansive non-self map demi-closed principle common fixed point |
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