|本期目录/Table of Contents|

关于渐近非扩张映象的强收敛定理(PDF)

《纯粹数学与应用数学》[ISSN:1008-5513/CN:61-1240/O1]

期数:
2010年03期
页码:
0
栏目:
出版日期:
2010-06-25

文章信息/Info

Title:
Strong convergence theorems for asymptotically nonexpansive mappings
作者:
赵良才
(宜宾学院数学系, 四川宜宾644000)
Author(s):
ZHAO Liang-cai
(Department of Mathematics, Yibin University, Yibin 644000, China)
关键词:
渐近非扩张半群 范数一致G^ateaux 可微 一致正规结构 公共不动点
Keywords:
asymptotically nonexpansive semigroups uniformly G^ateaux di?erentiable norm uniform normal structure common ˉxed point
分类号:
O177.91
DOI:
-
文献标识码:
A
摘要:
在具有一致正规结构且其范数是一致G^ateaux 可微的实Banach 空间中, 为寻 求渐近非扩张半群的公共不动点, 引入了一种新的迭代序列. 在适当的条件下, 用迭代 逼近算法,证明了逼近于这一公共不动点的某些强收敛定理. 其结果也推广和改进了引 文中相应的结果.
Abstract:
In this paper, we introduce a new iterative scheme for ˉnding a common ˉxed point for a asymp- totically nonexpansive semigroup in a real Banach space with uniformly G^ateaux di?erentiable norm possessing uniform normal structure. It is shown that under suitable conditions by the iterative approximation algorithms, some strong convergence theorems for approximating to this common ˉxed points are proved. The results pre- sented in this paper extend and improve the corresponding results.

参考文献/References

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备注/Memo

备注/Memo:
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更新日期/Last Update: 2010-06-30