DocumentCode
2880126
Title
Random Ishikawa and Mann Iterative Sequences with Errors in Banach Spaces
Author
Lin, Qiang
Author_Institution
Coll. of Sci., Guangdong Ocean Univ. Zhanjiang, Zhanjiang, China
fYear
2009
fDate
19-20 Dec. 2009
Firstpage
1
Lastpage
4
Abstract
The purpose of this paper is to introduce and construct random Ishikawa and Mann iterative sequences with errors for random strong pseudo-contractive operator T, and to study that these random iterative sequences converge strongly to random fixed point of T in uniformly smooth Banach spaces. As an application, we also established the existence of solutions for some kind of nonlinear random operator equation. Our results improve and extend several known results in the current literature.
Keywords
Banach spaces; iterative methods; nonlinear equations; random sequences; Mann iterative sequences; nonlinear random operator equation; pseudo-contractive operator; random Ishikawa iterative sequences; random fixed point; Educational institutions; Extraterrestrial measurements; Functional analysis; Hilbert space; Nonlinear equations; Oceans; Banach spaces; iterative sequence with errors; measurable mapping; random fixed point; random strongly pseudocontractive operator;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Engineering and Computer Science, 2009. ICIECS 2009. International Conference on
Conference_Location
Wuhan
Print_ISBN
978-1-4244-4994-1
Type
conf
DOI
10.1109/ICIECS.2009.5367233
Filename
5367233
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