Mixed Approximation for Nonexpansive Mappings in Banach Spaces

Joint Authors

Zhang, Qing-Bang
Xia, Fu-Quan
Liu, Ming-Jie

Source

Abstract and Applied Analysis

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-02-11

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

The mixed viscosity approximation is proposed for finding fixed points of nonexpansive mappings, and the strong convergence of the scheme to a fixed point of the nonexpansive mapping is proved in a real Banach space with uniformly Gâteaux differentiable norm.

The theorem about Halpern type approximation for nonexpansive mappings is shown also.

Our theorems extend and improve the correspondingly results shown recently.

American Psychological Association (APA)

Zhang, Qing-Bang& Xia, Fu-Quan& Liu, Ming-Jie. 2010. Mixed Approximation for Nonexpansive Mappings in Banach Spaces. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-496868

Modern Language Association (MLA)

Zhang, Qing-Bang…[et al.]. Mixed Approximation for Nonexpansive Mappings in Banach Spaces. Abstract and Applied Analysis No. 2010 (2010), pp.1-12.
https://search.emarefa.net/detail/BIM-496868

American Medical Association (AMA)

Zhang, Qing-Bang& Xia, Fu-Quan& Liu, Ming-Jie. Mixed Approximation for Nonexpansive Mappings in Banach Spaces. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-496868

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-496868