Title :
Random Approximation with Weak Contraction Random Operator and Random Fixed Point Theorem for Nonexpansive Random Mapping
Author :
Li, Suhong ; Zhang, Lingmin ; Xiao, Xin ; Li, Lihua ; Yin, Hongwu ; Zhao, Huijuan
Author_Institution :
Coll. of Math. & Inf. Technol., Hebei Normal Univ. of Sci. & Technol., Qinhuangdao, China
Abstract :
In real reflexive separable Banach space which admits a weakly sequentially continuous duality mapping, the sufficient and necessary condition that nonexpansive random mapping has a random fixed point is obtained. By introducing a random iteration process with weak contraction random operator, we obtain the convergence theorem of the random iteration process to a random fixed point for nonexpansive random mapping.
Keywords :
Banach spaces; approximation theory; convergence of numerical methods; fixed point arithmetic; iterative methods; random processes; convergence theorem; nonexpansive random mapping; random approximation; random fixed point theorem; random iteration process; reflexive separable Banach space; sequential continuous duality mapping; weak contraction random operator; Approximation methods; Convergence; Differential equations; Equations; Extraterrestrial measurements; System-on-a-chip; random fixed point; random operator; strong convergence theorem; weak contraction;
Conference_Titel :
Cryptography and Network Security, Data Mining and Knowledge Discovery, E-Commerce & Its Applications and Embedded Systems (CDEE), 2010 First ACIS International Symposium on
Conference_Location :
Qinhuangdao
Print_ISBN :
978-1-4244-9595-5
DOI :
10.1109/CDEE.2010.89
