Title :
Viscosity Approximation Methods for Asymptotically Nonexpansive Mappings in Banach Spaces
Author :
Wen, Dao-Jun ; Gong, Qian-Fen
Author_Institution :
Sch. of Math. & Stat., Chongqing Technol. & Bus. Univ., Chongqing, China
Abstract :
In this paper we propose a new viscosity approximation scheme for computing fixed points of asymptotically nonexpansive mappings in Banach spaces. Strong convergence theorem is established under some certain different control conditions of the viscosity methods for asymptotically nonexpansive mappings, and some recent results are improved and generalized.
Keywords :
Banach spaces; approximation theory; convergence of numerical methods; Banach space; asymptotical nonexpansive mapping; control condition; convergence theorem; viscosity approximation method; Aerospace electronics; Approximation methods; Business; Convergence; Iterative methods; Space technology; Viscosity; Asymptotically Nonexpansive Mappings; Banach Limts; Fixed Point; Viscosity Approximation Methods;
Conference_Titel :
Intelligent Computation Technology and Automation (ICICTA), 2011 International Conference on
Conference_Location :
Shenzhen, Guangdong
Print_ISBN :
978-1-61284-289-9
DOI :
10.1109/ICICTA.2011.85
