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
Link To Document :
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