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.

引用

页码：589 / 599

页数：11

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