The Equivalence of Convergence Results between Ishikawa and Mann Iterations with Errors for Uniformly Continuous Generalized Φ-Pseudocontractive Mappings in Normed Linear Spaces

Joint Authors

Lv, Guiwen
Xue, Zhiqun

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-05-31

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

We prove the equivalence of the convergence of the Mann and Ishikawa iterations with errors for uniformly continuous generalized Φ-pseudocontractive mappings in normed linear spaces.

Our results extend and improve the corresponding results of Xu, 1998, Kim et al., 2009, Ofoedu, 2006, Chidume and Zegeye, 2004, Chidume, 2001, Chang et al.

2002, Liu, 1995, Hirano and huang, 2003, C.

E.

Chidume and C.

O.

Chidume, 2005, and huang, 2007.

American Psychological Association (APA)

Lv, Guiwen& Xue, Zhiqun. 2012. The Equivalence of Convergence Results between Ishikawa and Mann Iterations with Errors for Uniformly Continuous Generalized Φ-Pseudocontractive Mappings in Normed Linear Spaces. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-993217

Modern Language Association (MLA)

Lv, Guiwen& Xue, Zhiqun. The Equivalence of Convergence Results between Ishikawa and Mann Iterations with Errors for Uniformly Continuous Generalized Φ-Pseudocontractive Mappings in Normed Linear Spaces. Journal of Applied Mathematics No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-993217

American Medical Association (AMA)

Lv, Guiwen& Xue, Zhiqun. The Equivalence of Convergence Results between Ishikawa and Mann Iterations with Errors for Uniformly Continuous Generalized Φ-Pseudocontractive Mappings in Normed Linear Spaces. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-993217

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-993217