Weak and Strong Convergence of a Two-Step Iterations for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings

被引：0

作者：

Dehghan, Hossein ^{[1
]}

Gharajelo, Amir ^{[2
]}

机构：

[1] Inst Adv Studies Basic Sci IASBS, Dept Math, Zanjan, Iran

[2] Roozbeh Inst Higher Educ, Dept Math, Zanjan, Iran

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2012年 / 5卷 / 01期

关键词：

Generalized asymptotically quasi-nonexpansive mapping; Mann-type iteration; Ishikawa-type iteration; Uniformly convex Banach space; Common fixed point;

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 introduce and study a new two-step iterative scheme to approximate common fixed points for a finite family of generalized asymptotically quasi-nonexpansive mappings. We establish several strong and weak convergence results of the proposed algorithm in Banach spaces. These results generalize and refine many known results in the current literature.

引用

页码：45 / 54

页数：10

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