An Iterative Method for Nonexpansive Mappings and Inverse-strongly Monotone Mappings

Author

Wang, Xiaozhe ; Zhang, Yagang

Author_Institution

Dept. of Math. & Phys., North China Electr. Power Univ., Baoding, China

Volume

2

fYear

2009

fDate

21-22 Nov. 2009

Firstpage

510

Lastpage

512

Abstract

Nonexpansive mappings and inverse-strongly monotone mappings are two kinds of nonlinear operators, nonlinear functional analysis. Operator theory is a very important theory, which has some valuable applications to operations research and economics. It has recently been applied to engineering, particularly in the application of automatic control. In this paper, we introduce an iterative method for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problem for an alpha inverse-strongly monotone mapping in Hilbert space. We obtain a strong convergence theorem for a sequence generated by this progress.

Keywords

Hilbert spaces; iterative methods; nonlinear functions; variational techniques; Hilbert space; alpha inverse-strongly monotone mapping; inverse-strongly monotone mappings; iterative method; nonexpansive mappings; nonlinear functional analysis; nonlinear operators; operator theory; variational inequality problem; Functional analysis; Gold; Hilbert space; Information technology; Iterative methods; Mathematics; Operations research; Physics; Power engineering and energy; Power generation economics; alpha inverse-strongly monotone mapping; nonexpansive mapping; strong convergence; variational inequality;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Information Technology Application, 2009. IITA 2009. Third International Symposium on

Conference_Location

Nanchang

Print_ISBN

978-0-7695-3859-4

Type

conf

DOI

10.1109/IITA.2009.210

Filename

5369558