The Strong Convergence of a New Iterative Algorithm for Asymptotically Nonexpansive Mappings

Yuan Heng Wang; Wei Wei  Sun

doi:10.4028/www.scientific.net/AMR.756-759.3628

Paper Titles

Transient Signal Feature Extraction Based on Box Dimension and the Largest Lyapunov Dimension
p.3607

Control Algorithm Optimization of Electric Air Conditioning Based on ADVISOR
p.3611

A Cross-Entropy Method for Solving Passenger Flow Routing Problem
p.3617

Code-Switching Speech Detection Method by Combination of Language and Acoustic Information
p.3622

The Strong Convergence of a New Iterative Algorithm for Asymptotically Nonexpansive Mappings
p.3628

Algebraic Techniques in Linear Cryptanalysis
p.3634

An Evaluation Method of Combat Service Operation Performance for Surface-to-Air Missile Based on FNN
p.3640

A New Hybrid GRASP with the Pilot Method Forthe Delay-Constrained Multicast Routing Problem
p.3647

Imbalanced Data Detection Kernel Method in Closed Systems
p.3652

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 756-759The Strong Convergence of a New Iterative...

The Strong Convergence of a New Iterative Algorithm for Asymptotically Nonexpansive Mappings

Abstract:

In a real Banach space E with a uniformly differentiable norm, we prove that a new iterative sequence converges strongly to a fixed point of an asymptotically nonexpansive mapping. The results in this paper improve and extend some recent results of other authors.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 756-759)

Pages:

3628-3633

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.756-759.3628

Citation:

Cite this paper

Online since:

September 2013

Authors:

Yuan Heng Wang, Wei Wei Sun

Keywords:

Asymptotically Nonexpansive, Fixed Point, Strong Convergence, Uniformly Asymptotically Regular, Uniformly Differentiable Norm

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] B. Halpern, Fixed points of nonexpansive maps, Bull. Amer. Math . Soc., vol. 73, pp.957-961, (1967).

DOI: 10.1090/s0002-9904-1967-11864-0

Google Scholar

[2] H. K. Xu, Iterative algorithms for nonlinear operators, J. London Math. Soc. , vol. 2, pp.240-256, (2002).

Google Scholar

[3] N. Shioji, W. Takahashi, Strong convergence of approximated sequences for nonexpansive mapping in Banach spaes, Proc. Amer. Math. Soc., vol. 125, pp.3641-3645, (1997).

DOI: 10.1090/s0002-9939-97-04033-1

Google Scholar

[4] C. E. Chidume, C . O . Chidume, Iterative approximation of fixed points of nonexpansive mappings, J. Math. Anal. Appl. Vol. 318, pp.288-295.

DOI: 10.1016/j.jmaa.2005.05.023

Google Scholar

[5] H. K. Xu, Viscosity approximation methods for nonexpansive mappings, , J. Math . Anal . Appl . vol. 298, pp.279-291, (2004).

Google Scholar