Convergence to common fixed points of multi-step iteration process for generalized asymptotically quasi-nonexpansive mappings in convex metric spaces

被引：0

作者：

Saluja, G. S. ^{[1
]}

机构：

[1] Govt Nagarjuna PG Coll Sci, Dept Math & Informat Technol, Raipur 492010, CG, India

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2014年 / 43卷 / 02期

关键词：

Generalized asymptotically quasi-nonexpansive mapping; multi-step iterations with errors; common fixed point; strong convergence; convex metric; BANACH-SPACES; ERROR MEMBER; SEQUENCES; ISHIKAWA;

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 study strong convergence of multi-step iterations with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings in the framework of convex metric spaces. The new iteration scheme includes modified Mann and Ishikawa iterations with errors, the three-step iteration scheme of Xu and Noor as special cases in Banach spaces. Our results extend and generalize many known results from the current literature.

引用

页码：209 / 225

页数：17

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