On the Convergence of Mann and Ishikawa Iterative Processes for Asymptotically φ-Strongly Pseudocontractive Mappings

被引：1

作者：

Wang, Xuewu ^{[2
]}

Marino, Giuseppe ^{[1
]}

Muglia, Luigi ^{[1
]}

机构：

[1] Univ Calabria, Dipartimento Matemat, I-87036 Arcavacata Di Rende, Italy

[2] Shandong Inst Business & Technol, Coll Math & Informat Sci, Yantai 264005, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

FIXED-POINT THEOREM; PSEUDO-CONTRACTIONS; FINITE FAMILY; ERRORS; EQUIVALENCE; APPROXIMATION; ALGORITHMS;

D O I：

10.1155/2012/850104

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the equivalence and the strong convergence of (1) the modified Mann iterative process and (2) the modified Ishikawa iterative process for asymptotically phi-strongly pseudocontractive mappings in a uniformly smooth Banach space.

引用

页数：19

共 50 条

[1] A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically φ-Strongly Pseudocontractive Mappings
Muglia, Luigi
Yao, Yonghong
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
[2] On the Convergence of Iterative Processes for Generalized Strongly Asymptotically φ-Pseudocontractive Mappings in Banach Spaces
Colao, Vittorio
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
[3] Reconsiderations on the Equivalence of Convergence between Mann and Ishikawa Iterations for Asymptotically Pseudocontractive Mappings
Sun, Haizhen
Xue, Zhiqun
[J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
[4] Convergence of the modified Mann's iterative method for asymptotically κ-strictly pseudocontractive mappings
Zhang, Ying
Xie, Zhiwei
[J]. FIXED POINT THEORY AND APPLICATIONS, 2011,
[5] Convergence of the modified Mann's iterative method for asymptotically κ-strictly pseudocontractive mappings
Ying Zhang
Zhiwei Xie
[J]. Fixed Point Theory and Applications, 2011
[6] ON THE CONVERGENCE BETWEEN THE MANN ITERATION AND ISHIKAWA ITERATION FOR THE GENERALIZED LIPSCHITZIAN AND Φ-STRONGLY PSEUDOCONTRACTIVE MAPPINGS
Xue, Zhiqun
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (04) : 635 - 644
[7] On the Convergence of Implicit Iterative Processes for Asymptotically Pseudocontractive Mappings in the Intermediate Sense
Qin, Xiaolong
Kim, Jong Kyu
Wang, Tianze
[J]. ABSTRACT AND APPLIED ANALYSIS, 2011,
[8] The equivalence between the convergence of the modified Mann and Ishikawa iterations for asymptotically pseudocontractive mappings obtained by dropping the bounded assumption
Guiwen Lv
Zhiqun Xue
[J]. Journal of Inequalities and Applications, 2014
[9] The equivalence between the convergence of the modified Mann and Ishikawa iterations for asymptotically pseudocontractive mappings obtained by dropping the bounded assumption
Lv, Guiwen
Xue, Zhiqun
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[10] The equivalence between the convergence of Ishikawa and Mann iterations with errors for strongly successively pseudocontractive mappings without Lipschitzian assumption
Huang, Zhenyu
Bu, Fanwei
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) : 586 - 594

← 1 2 3 4 5 →