AN ALGORITHM FOR TREATING FIXED POINTS OF ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS

被引:0
作者
Wu, Changqun [1 ]
机构
[1] Henan Univ, Sch Business & Adm, Henan, Peoples R China
来源
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2012年
关键词
asymptotically mapping; nonexpansive mapping; fixed point; multi-step iteration;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate fixed points of a finite family of non-self asymptotically quasi-nonexpansive mappings based on a multi-step iterative process in the framework of uniformly convex Banach spaces. Strong convergence theorems are established.
引用
收藏
页数:10
相关论文
共 16 条
[1]  
CHANG SS, 2004, DYNAMIC SYSTEMS APPL, V13, P179
[2]   Convergence theorems for two finite families of asymptotically nonexpansive mappings [J].
Chen, Weixu ;
Guo, Weiping .
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (5-6) :1311-1319
[3]   Approximation of common fixed points for finite families of nonself asymptotically nonexpansive mappings in Banach spaces [J].
Chidume, C. E. ;
Ali, Bashir .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 326 (02) :960-973
[4]   Strong and weak convergence theorems for asymptotically nonexpansive mappings [J].
Chidume, CE ;
Ofoedu, EU ;
Zegeye, H .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 280 (02) :364-374
[5]   Weak and strong convergence of the Ishikawa iterative process for a finite family of asymptotically nonexpansive mappings [J].
Cianciaruso, Filomena ;
Marino, Giuseppe ;
Wang, Xuewu .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (12) :3558-3567
[6]   Approximating fixed points of asymptotically nonexpansive mappings in Banach spaces by metric projections [J].
Dehghan, Hossein .
APPLIED MATHEMATICS LETTERS, 2011, 24 (09) :1584-1587
[7]   FIXED-POINT THEOREM FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS [J].
GOEBEL, K ;
KIRK, WA .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 35 (01) :171-&
[8]   Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-φ-nonexpansive mappings [J].
Kim, Jong Kyu .
FIXED POINT THEORY AND APPLICATIONS, 2011,
[9]   Convergence theorems by a new iteration process for a finite family of nonself asymptotically nonexpansive mappings with errors in Banach spaces [J].
Kiziltunc, Hukmi ;
Temir, Seyit .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (09) :2480-2489
[10]   Approximating common fixed points of asymptotically nonexpansive mappings by composite algorithm in Banach spaces [J].
Qin, Xiaolong ;
Su, Yongfu ;
Shang, Meijuan .
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2007, 5 (02) :345-357