A Unified Iteration Method with Error for Inclution Problem

Han Jun Chen; Yang Xue; Hong Zhao

doi:10.4028/www.scientific.net/AMR.403-408.1584

Paper Titles

An Improved Data-Aided Symbol Timing Algorithm for OFDM Systems
p.1568

The Design of Wave Data Acquisition and Time-Domain Analysis Program
p.1572

The Design of Wave Data Frequency-Domain Analysis Program
p.1576

The Study of Constraint Conditions about Cultural Algorithm
p.1580

A Unified Iteration Method with Error for Inclution Problem
p.1584

Energy Management in Public Buildings Using IFIX-Based SCADA System
p.1588

Design of Data Acquisition System Based on FPGA
p.1592

A Research on Sampling and Reconstruction Based on Minimal Norm
p.1596

Study of Risk Control of ERP Project Based on ERM
p.1601

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 403-408A Unified Iteration Method with Error for...

A Unified Iteration Method with Error for Inclution Problem

Abstract:

In this paper, we suggest and analyze a unified iteration method with error for finding the common element of the set of fixed points of nonexpansive mappings and the set of the solutions of the inclusion problem using the resolvent operator technique. We also study the convergence criteria of the unified iteration method with error under some mild conditions. Our results include the previous results as special cases and may be considered as an improvement the previously known results.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 403-408)

Pages:

1584-1587

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.403-408.1584

Citation:

Cite this paper

Online since:

November 2011

Authors:

Han Jun Chen, Yang Xue, Hong Zhao

Keywords:

Hilbert Spaces, Inclusion Problem, Nonexpansive Mappings, Unified Iteration Method

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] Wataru Takahashi, Kei Zembayashi, Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings, Appl. Math. Comput. 183 (2006) 322-327.

DOI: 10.1155/2008/528476

Google Scholar

[2] Weerayuth Nilsrakooa, Satit Saejungb, Weak and strong convergence theorems for countable Lipschitzian mappings and its applications, Nonlinear analysis. in press.

DOI: 10.1016/j.na.2007.08.044

Google Scholar

[3] R.U. Verma, A-monotonicity and its role in nonlinear variational inclusions, J. Optim. Theory Appl. 129 (3) (2006) 457-467.

DOI: 10.1007/s10957-006-9079-7

Google Scholar

[4] R.U. Verma, Sensitivity analysis for generalized strongly monotone variational inclusions based on the ()-resolvent operator technique, Appl. Math. Lett. 19 (2006) 1409-1413.

DOI: 10.1016/j.aml.2006.02.014

Google Scholar