Title :
A New Fixed Point Theorem and Simple Approximative Algorithm for Nonexpansive Mappings
Author :
Jiang, Li ; Su, Yongfu
Author_Institution :
Dept. of Math., Tianjin Polytech. Univ., Tianjin, China
Abstract :
The purpose of this article is to prove a new fixed point theorem and to establish a simple approximative method of fixed point for nonexpansive mappings in the reflexive Banach space. The new fixed point theorem presented in this article improved and extend the classical results of Goebel-Kirk, Kim-Xu and many others.
Keywords :
Banach spaces; approximation theory; convergence; approximative algorithm; fixed point theorem; nonexpansive mapping; reflexive Banach space; simple approximative method; Approximation algorithms; Approximation methods; Computational complexity; Convergence; Iterative methods; System-on-a-chip; approximative algorithm; fixed point Theorem; nonexpansive mappings; strong convergence; weak;
Conference_Titel :
Computer Science and Society (ISCCS), 2011 International Symposium on
Conference_Location :
Kota Kinabalu
Print_ISBN :
978-1-4577-0644-8
DOI :
10.1109/ISCCS.2011.81
