DocumentCode
3037309
Title
Viscosity approximating fixed points of nonexpansive mappings by Ishikawa iteration
Author
Wang, Yuanheng ; Xu, Wei
Author_Institution
Dept. of Math., Zhejiang Normal Univ., Jinhua, China
fYear
2011
fDate
26-28 July 2011
Firstpage
2797
Lastpage
2800
Abstract
It is shown that under some certain appropriate conditions, a strong convergence theorem of a new Ishikawa modified viscosity iteration for nonexpansive mappings is obtained in Banach spaces and the method in this paper is new ones. The results presented here improve and extend the corresponding results of other authors, such as S.S.Chang, H.W.Joseph Lee and C.K.Chan [On Reichs strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces, J.Math.Anal.Appl.66:2364-2374,2007].
Keywords
Banach spaces; convergence of numerical methods; iterative methods; Banach space; Ishikawa modified viscosity iteration; convergence theorem; nonexpansive mapping; viscosity approximating fixed points; Approximation methods; Convergence; Topology; Viscosity; Ishikawa modified iteration; nonexpansive mapping; strong convergence; viscosity;
fLanguage
English
Publisher
ieee
Conference_Titel
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location
Hangzhou
Print_ISBN
978-1-61284-771-9
Type
conf
DOI
10.1109/ICMT.2011.6002430
Filename
6002430
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