Some convergence theorems for total asymptotically nonexpansive mappings in Banach spaces

被引：0

作者：

Chang, Shih-Sen ^{[1
]}

Lee, H. W. Joseph ^{[2
]}

Chan, Chi Kin ^{[2
]}

机构：

[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Dept Math, Kunming 650221, Yunnan, Peoples R China

[2] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China

来源：

MATHEMATICA SLOVACA | 2013年 / 63卷 / 05期

关键词：

total asymptotically nonexpansive mapping; total symptotically quasi-nonexpansive mapping; asymptotically quasi-nonexpansive mapping; asymptotically nonexpansive mapping; asymptotically nonexpansive in the intermediate sense; COMMON FIXED-POINTS; IMPLICIT ITERATION PROCESS; FINITE FAMILIES; NOOR ITERATIONS; APPROXIMATION; SEQUENCES; CRITERIA;

D O I：

10.2478/s12175-013-0156-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to establish some new approximation theorems of common fixed points for a countable family of total asymptotically quasi-nonexpansive mappings in Banach spaces which generalize and improve the corresponding theorems of Chidume et al. [J. Math. Anal. Appl. 333 (2007), 128-141], [J. Math. Anal. Appl. 326 (2007), 960-973], [Internat. J. Math. Math. Sci. 2009, Article ID 615107, 17 pp.] and others. (C) 2013 Mathematical Institute Slovak Academy of Sciences

引用

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页码：1073 / 1084

页数：12

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