MULTI-VALUED TOTALLY QUASI-φ-ASYMPTOTICALLY NONEXPANSIVE SEMI-GROUPS AND STRONG CONVERGENCE THEOREMS IN BANACH SPACES

被引：0
|
作者：
张石生 [1 ]
王林 [1 ]
赵云河 [1 ]
机构：
[1] College of Statistics and Mathematics,Yunnan University of Finance and Economics
来源：
ActaMathematicaScientia | 2013年 / 33卷 / 02期
关键词：
Multi-valued totally Quasi-φ-asymptotically nonexpansive semi-groups; modified Halpern-Mann-type iteration; multi-valued quasi-φ-symptotically nonex-pansive semi-groups; multi-valued quasi-φ-nonexpansive semi-groups; multivalued relatively nonexpansive semi-groups; generalized projection;
D O I：
暂无
中图分类号：
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号：
070104 ;
摘要：
The purpose of this article is first to introduce the concept of multi-valued totally Quasi-φ-asymptotically nonexpansive semi-groups, which contains many kinds of semigroups as its special cases, and then to modify the Halpern-Mann-type iteration algorithm for multi-valued totally Quasi-φ-asymptotically nonexpansive semi-groups to have the strong convergence under a limit condition only in the framework of Banach spaces. The results presented in this article improve and extend the corresponding results announced by many authors recently.
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页码：589 / 599
页数：11
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