Weak and Strong Convergence Theorems for an alpha-Nonexpansive Mapping and a Generalized Nonexpansive Mapping in Hilbert Spaces

被引：0

作者：

Wattanawitoon, Kriengsak ^{[1
]}

Khamlae, Yaowalux ^{[1
]}

机构：

[1] Rajamangala Univ Technol, Fac Sci & Agr Technol, Dept Math & Stat, Lanna Tak 63000, Tak, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2013年 / 11卷 / 03期

关键词：

generalized nonexpansive mapping; alpha-nonexpansive mapping; fixed point problem; Hilbert space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate iterative scheme for approximating common solution of fixed point problems involving an alpha-nonexpansive mapping and a generalized nonexpansive mapping in the framework of Hilbert spaces via Takahashi and Tamura's scheme. We obtain the weak convergence theorem under appropriate conditions and strong convergence theorem by adding some necessary condition in the same scheme. Our results extend and improve some recent results in the literature.

引用

页码：633 / 643

页数：11

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