Iterative algorithm with errors for fixed points of relatively nonexpansive mappings

Author

Li, Wei ; Lin, Tan-Rui

Author_Institution

Sch. of Math. & Stat., Hebei Univ. of Econ. & Bus., Shijiazhuang, China

fYear

2009

fDate

12-15 July 2009

Firstpage

471

Lastpage

475

Abstract

Finding fixed points of nonexpansive mappings is a hot topic in different branches of mathematical and engineering sciences. In this paper, two iterative algorithms with errors are proposed and proved to be strongly convergent to fixed points of relatively of Lyapunov functional and generalized projection operator, etc. Moreover, it is demonstrated how to use the newly obtained iterative algorithms to approximate zero points of maximal monotone operators, which is also an important topic in the related areas.

Keywords

Lyapunov methods; convergence; error analysis; iterative methods; mathematical operators; Lyapunov functional; engineering science; generalized projection operator; iterative algorithm; mathematical science; maximal monotone operators; relatively nonexpansive mapping; zero point approximation; Iterative algorithms; Pattern analysis; Pattern recognition; Wavelet analysis; Relatively nonexpansive mapping; fixed point; maximal monotone operator; strong convergence; zero point;

fLanguage

English

Publisher

ieee

Conference_Titel

Wavelet Analysis and Pattern Recognition, 2009. ICWAPR 2009. International Conference on

Conference_Location

Baoding

Print_ISBN

978-1-4244-3728-3

Electronic_ISBN

978-1-4244-3729-0

Type

conf

DOI

10.1109/ICWAPR.2009.5207493

Filename

5207493