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
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.
引用
收藏
页数:9
相关论文
共 50 条
  • [1] Strong convergence for total quasi-ϕ-asymptotically nonexpansive semigroups in Banach spaces
    Jing Quan
    Shih-sen Chang
    Xiongrui Wang
    [J]. Fixed Point Theory and Applications, 2012
  • [2] Total quasi-φ-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces
    Chang, Shih-sen
    Kim, Jong Kyu
    Wang, Lin
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [3] Total quasi-ϕ-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces
    Shih-sen Chang
    Jong Kyu Kim
    Lin Wang
    [J]. Fixed Point Theory and Applications, 2012
  • [4] Strong Convergence Theorems for Two Total Quasi-φ-Asymptotically Nonexpansive Mappings in Banach Spaces
    He, Xi-bing
    Hui, Xiao-jian
    Xing, Hui
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [5] Strong convergence theorems of total quasi-φ-asymptotically nonexpansive semi-groups in Banach spaces
    Chang, Shih-sen
    Chan, Chi Kin
    Yang, Li
    Wang, Xiong Rui
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 224 : 398 - 404
  • [6] Strong convergence theorem for total quasi-φ-asymptotically nonexpansive mappings in a Banach space
    Saewan, Siwaporn
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [7] Strong convergence theorem for total quasi-ϕ-asymptotically nonexpansive mappings in a Banach space
    Siwaporn Saewan
    [J]. Fixed Point Theory and Applications, 2013
  • [8] Strong convergence theorems for total quasi-ϕ-asymptotically nonexpansive multi-valued mappings in Banach spaces
    Jinfang Tang
    Shih-sen Chang
    [J]. Fixed Point Theory and Applications, 2012
  • [9] Strong Convergence Theorems for a Finite Family of Quasi-nonexpansive and Asymptotically Quasi- nonexpansive Mappings in Banach spaces
    Saluja, Gurucharan Singh
    [J]. MATEMATIKA, 2011, 27 (02) : 129 - 138
  • [10] Strong convergence theorem for quasi-φ-asymptotically nonexpansive mappings in the intermediate sense in Banach spaces
    Ma, Zhaoli
    Wang, Lin
    Chang, Shih-sen
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,