Title :
Another iterative method for approximating a common element of sets in Banach spaces
Author :
Liu, Li-hong ; Hai-Yun Zhou ; Chen, Dong-qing
Author_Institution :
Dept. of Math., Shijiazhuang Mech. Eng. Coll., Shijiazhuang, China
Abstract :
In this paper, another new iterative algorithm is proposed for approximating a common element of the common fixed point set for a family of quasi-φ-asymptotically nonexpansive mappings and the solution set of equilibrium problems in Banach spaces. Then a strong convergence theorem is proved by using the proposed algorithm, which generalizes and improve the recent related results.
Keywords :
Banach spaces; iterative methods; Banach spaces; equilibrium problem; iterative algorithm; iterative method; nonexpansive mappings; strong convergence theorem; Electronic mail; Positron emission tomography; Zinc; Banach space; Quasi-φ-asymptotically nonexpansive mappings; common element; equilibrium problem; iteration algorithm;
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2011 International Conference on
Conference_Location :
Guilin
Print_ISBN :
978-1-4577-0305-8
DOI :
10.1109/ICMLC.2011.6016833
