A Strong Convergence Theorem for Nonexpansive Mappings and Monotone Mappings

Author

Wang, Junhong ; Su, Yongfu

Author_Institution

Dept. of Math., Tianjin Polytech. Univ., Tianjin, China

Volume

2

fYear

2009

fDate

24-26 April 2009

Firstpage

797

Lastpage

801

Abstract

The purpose of this paper is to propose a hybrid method for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality problem for an inverse strongly monotone mapping. We obtain a strong convergence theorem. The results of this paper improved and extended the results of W. Takahashi and Toyoda [W. Takahashi, Toyoda W, Weak convergence theorems for nonexpansive mappings and monotone mappings, Journal of Optimization Theory And Applications:vol 118, 417-428 (2003), ] and some others in some respects.

Keywords

approximation theory; convergence of numerical methods; set theory; variational techniques; convergence theorem; inverse strongly monotone mapping; monotone mapping; nonexpansive mapping; variational inequality problem; Convergence; Extraterrestrial measurements; Gold; Hilbert space; Iterative methods; Mathematics; Optimization methods; Personal communication networks; Common fixed point; Hybrid method; Inverse strongly-monotone mapping; Nonexpansive mapping;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on

Conference_Location

Sanya, Hainan

Print_ISBN

978-0-7695-3605-7

Type

conf

DOI

10.1109/CSO.2009.162

Filename

5194066