The convergence of the modified Mann and Ishikawa iterations in Banach spaces

被引：0

作者：

Zhiqun Xue

Guiwen Lv

机构：

[1] Shijiazhuang Tiedao University,Department of Mathematics and Physics

来源：

Journal of Inequalities and Applications | / 2013卷 / 1期

关键词：

uniformly ; -Lipschitz; asymptotically pseudocontractive mapping; fixed point; real Banach space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, under the new condition we show that the convergence of the modified Mann and Ishikawa iterations is equivalent for uniformly L-Lipschitz asymptotically pseudocontractive mappings in real Banach spaces. Our results extend and improve the corresponding results of Zeng (Acta Math. Sin. 47:219-228, 2004).

引用

共 50 条

[1] The convergence of the modified Mann and Ishikawa iterations in Banach spaces
Xue, Zhiqun
Lv, Guiwen
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[2] The comparison of the convergence speed between Picard, Mann, Krasnoselskij and Ishikawa iterations in Banach spaces
Xue, Zhiqun
[J]. FIXED POINT THEORY AND APPLICATIONS, 2008,
[3] The convergence of implicit Mann and Ishikawa iterations for weak generalized φ-hemicontractive mappings in real Banach spaces
Xue, Zhiqun
Zhang, Fang
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[4] Comparison of fastness of the convergence among Krasnoselskij, Mann, and Ishikawa iterations in arbitrary real Banach spaces
GVR Babu
KNVV Vara Prasad
[J]. Fixed Point Theory and Applications, 2006 (1)
[5] The convergence of implicit Mann and Ishikawa iterations for weak generalized φ-hemicontractive mappings in real Banach spaces
Zhiqun Xue
Fang Zhang
[J]. Journal of Inequalities and Applications, 2013 (1)
[6] The equivalence between the convergence of modified Picard, modified Mann, and modified Ishikawa iterations
Chang, SS
Cho, YJ
Kim, JK
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2003, 37 (9-10) : 985 - 991
[7] Strong Convergence of the Modified Mann Iterations in a Banach Space
Imnang, S.
Suantai, S.
[J]. THAI JOURNAL OF MATHEMATICS, 2005, 3 (02): : 259 - 274
[8] THE EQUIVALENCE OF CONVERGENCE THEOREMS OF ISHIKAWA-MANN ITERATIONS WITH ERRORS FOR Φ-CONTRACTIVE MAPPINGS IN UNIFORMLY SMOOTH BANACH SPACES
Xue, Zhiqun
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2013, 7 (03): : 477 - 485
[9] Mann and Ishikawa iterations with errors for non-lipschitzian mappings in Banach spaces
[J]. Kim, G.E., 1600, Elsevier Ltd (42):
[10] Mann and Ishikawa iterations with errors for non-Lipschitzian mappings in Banach spaces
Kim, GE
Kim, TH
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (12) : 1565 - 1570

← 1 2 3 4 5 →