WEAK AND STRONG CONVERGENCE OF COMMON FIXED POINTS FOR ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN BANACH SPACES

被引：0

作者：

Saluja, Gurucharan Singh ^{[1
]}

机构：

[1] GOVT Nagarjuna PG Coll Sci, Dept Math & Informat Technol, Raipur 492010, Madhya Pradesh, India

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2011年 / 35卷 / 03期

关键词：

Asymptotically quasi-nonexpansive type mapping; three-step iteration process with errors; common fixed point; strong convergence; weak convergence; Banach 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 give necessary and sufficient condition for strong convergence of three-step iteration process with errors for approximating common fixed point for asymptotically quasi-nonexpansive type mappings and also prove weak convergence of three-step iteration process with errors for approximating common fixed point for said mappings in Banach spaces. The results presented in this paper extend and improve the corresponding results [1, 5, 6, 10, 11, 14] and many others.

引用

页码：451 / 462

页数：12

共 12 条

[1] Convergence of Ishikawa iterates of quasi-nonexpansive mappings [J].