Strong convergence for total quasi-φ-asymptotically nonexpansive semigroups in Banach spaces

被引：0
作者：
Quan, Jing [1 ]
Chang, Shih-sen [2 ]
Wang, Xiongrui [1 ]
机构：
[1] Yibin Univ, Dept Math, Yibin 644000, Sichuan, Peoples R China
[2] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2012年
基金：
新加坡国家研究基金会;
关键词：
strong convergence; total quasi-phi-asymptotically nonexpansive semigroups; generalized projection; COMMON FIXED-POINTS; EQUILIBRIUM PROBLEMS; MAPPINGS; THEOREMS; ALGORITHM;
D O I：
10.1186/1687-1812-2012-142
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this article is to use the modified Halpern-Mann type iteration algorithm for total quasi-phi-asymptotically nonexpansive semigroups to prove strong convergence in Banach spaces. The main results presented in this paper extend and improve the corresponding results of many authors.
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页数：9
相关论文
共 19 条
[1]   Approximating fixed points of total asymptotically nonexpansive mappings [J].
Alber, Ya. I. ;
Chidume, C. E. ;
Zegeye, H. .
FIXED POINT THEORY AND APPLICATIONS, 2006, 2006 (1)
[2]  
Alber YI, 1996, LECT NOTES PURE APPL, P15
[3]   A modified halpern-type iteration algorithm for totally quasi-φ-asymptotically nonexpansive mappings with applications [J].
Chang, S. S. ;
Lee, H. W. Joseph ;
Chan, Chi Kin ;
Zhang, W. B. .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (11) :6489-6497
[4]   Strong convergence theorems of quasi-φ-asymptotically nonexpansive semi-groups in Banach spaces [J].
Chang, Shih-sen ;
Wang, Lin ;
Tang, Yong-Kun ;
Zao, Yun-He ;
Wang, Bin .
FIXED POINT THEORY AND APPLICATIONS, 2012,
[5]   A generalization and improvement of Chidume theorems for total asymptotically nonexpansive mappings in Banach spaces [J].
Chang, Shih-sen ;
Kim, Jong Kyu ;
Lee, H. W. Joseph ;
Chan, Chi Kin .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[6]   Strong convergence theorems for a countable family of quasi-φ-asymptotically nonexpansive nonself mappings [J].
Chang, Shih-sen ;
Wang, Lin ;
Tang, Yong-Kun ;
Wang, Bin ;
Qin, Li-Juan .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (15) :7864-7870
[7]   Modified block iterative algorithm for Quasi-φ-asymptotically nonexpansive mappings and equilibrium problem in banach spaces [J].
Chang, Shih-sen ;
Chan, Chi Kin ;
Lee, H. W. Joseph .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (18) :7520-7530
[8]   Convergence theorem of common fixed points for Lipschitzian pseudocontraction semigroups in Banach spaces [J].
Chang, Shih-sen ;
Lee, H. W. Joseph ;
Chan, Chi Kin .
APPLIED MATHEMATICS AND COMPUTATION, 2009, 212 (01) :60-65
[9]   Approximation of common fixed points for finite families of total asymptotically nonexpansive mappings [J].
Chidume, C. E. ;
Ofoedu, E. U. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 333 (01) :128-141
[10]  
Chidume CE, 2009, INT J MATH MATH SCI, V17, DOI 10.1155/2009/615107
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