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
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;
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
DOI :
10.1109/ICMLC.2009.5212148
