DocumentCode
498808
Title
Approximation of random fixed points for a class of nonlinear mappings in separable Banach spaces
Author
Gao, Gailiang ; Zhou, Haiyun
Author_Institution
Dept. of Math., Shijiazhuang Mech. Eng. Coll., Shijiazhuang, China
Volume
4
fYear
2009
fDate
12-15 July 2009
Firstpage
2078
Lastpage
2080
Abstract
Recently, Choudhury constructed the random Mann iteration and proved that, if the iteration is convergent, it converges to a random fixed point of a random operator with some contractive conditions in a separable Hilbert space. The purpose of this paper is to show that Choudhury´s result still holds in a separable Banach space.
Keywords
Banach spaces; Hilbert spaces; approximation theory; iterative methods; Hilbert space; fixed point approximation; random Mann iteration; separable Banach space; Cybernetics; Machine learning; Random Mann iterative sequence; measurable function; random fixed point; random operator;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2009 International Conference on
Conference_Location
Baoding
Print_ISBN
978-1-4244-3702-3
Electronic_ISBN
978-1-4244-3703-0
Type
conf
DOI
10.1109/ICMLC.2009.5212148
Filename
5212148
Link To Document