Convergence theorems of a new iteration for asymptotically nonexpansive mappings in Banach spaces

被引：0

作者：

Kim, Jong Kyu ^{[1
]}

Lim, Won Hee ^{[1
]}

机构：

[1] Kyungnam Univ, Dept Math Educ, Chang Won 631701, Gyeongnam, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

asymptotically nonexpansive mapping; common fixed point; implicit Ishikawa-type iterative process; WEAK-CONVERGENCE; FINITE FAMILY; FIXED-POINTS;

D O I：

10.1186/1029-242X-2013-179

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the problem of modified iterative approximation of common fixed points of asymptotically nonexpansive is investigated in the framework of Banach spaces. Weak convergence theorems are established.

引用

页数：14

共 50 条

[1] Convergence theorems of a new iteration for asymptotically nonexpansive mappings in Banach spaces
Jong Kyu Kim
Won Hee Lim
[J]. Journal of Inequalities and Applications, 2013 (1)
[2] CONVERGENCE THEOREMS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
Su, Yongfu
Qin, Xiaolong
Shang, Meijuan
[J]. ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2008, 77 (01): : 31 - 42
[3] Convergence Theorems on a New Iteration Process for Two Asymptotically Nonexpansive Nonself-Mappings with Errors in Banach Spaces
Ozdemir, Murat
Akbulut, Sezgin
Kiziltunc, Hukmi
[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
[4] Convergence theorems by a new iteration process for a finite family of nonself asymptotically nonexpansive mappings with errors in Banach spaces
Kiziltunc, Hukmi
Temir, Seyit
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (09) : 2480 - 2489
[5] Strong Convergence Theorems for Semigroups of Asymptotically Nonexpansive Mappings in Banach Spaces
Sahu, D. R.
Wong, Ngai-Ching
Yao, Jen-Chih
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[6] Some convergence theorems for total asymptotically nonexpansive mappings in Banach spaces
Chang, Shih-Sen
Lee, H. W. Joseph
Chan, Chi Kin
[J]. MATHEMATICA SLOVACA, 2013, 63 (05) : 1073 - 1084
[7] On convergence theorems for total asymptotically nonexpansive nonself-mappings in Banach spaces
Yolacan, Esra
Kiziltunc, Hukmi
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2012, 5 (05): : 389 - 402
[8] CONVERGENCE THEOREMS FOR GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES
Saluja, G. S.
[J]. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2014,
[9] Weak and strong convergence theorems for a finite family of nonexpansive and asymptotically nonexpansive mappings in Banach spaces
Saejung, Satit
Sitthikul, Kittipong
[J]. THAI JOURNAL OF MATHEMATICS, 2008, 6 (03): : 15 - 26
[10] Convergence of implicit iteration process for a finite family of asymptotically nonexpansive mappings in Banach spaces
Zhou, YY
Chang, SS
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2002, 23 (7-8) : 911 - 921

← 1 2 3 4 5 →