Strong convergence of a modified Halpern-iteration for asymptotically quasi-φ-nonexpansive mappings

被引：0
|
作者：
Wu, Chang-Qun [1 ]
Hao, Yan [2 ]
机构：
[1] Henan Univ, Sch Business & Adm, Kaifeng 475000, Peoples R China
[2] Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316004, Peoples R China
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2013年 / 21卷 / 01期
关键词：
asymptotically quasi-phi-nonexpansive mapping; asymptotically nonexpansive mapping; relatively nonexpansive mapping; generalized projection; COMMON FIXED-POINT; PROJECTION ALGORITHMS; BANACH-SPACES; THEOREMS; FAMILY; OPERATORS;
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, the problem of modifying Halpern iteration for approximating a common fixed point of a family of asymptotically quasi-phi-nonexpansive mappings is considered. Strong convergence theorems are established in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property. The results presented in this paper mainly improve the corresponding results announced in [Y.J. Cho, X. Qin, S.M. Kang, Strong convergence of the modified Halpern-type iterative algorithms in Banach spaces, An. Stiint. Univ. Ovidius Constanta Ser. Mat. 17 (2009) 51-68].
引用
收藏
页码：261 / 276
页数：16
相关论文
共 50 条
  • [31] On the convergence of hybrid projection algorithms for asymptotically quasi-φ-nonexpansive mappings
    Qin, Xiaolong
    Huang, Shuechin
    Wang, Tianze
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) : 851 - 859
  • [32] Halpern iteration of Cesaro means for asymptotically nonexpansive mappings
    Zhang, Qingnian
    Song, Yisheng
    SCIENCEASIA, 2011, 37 (02): : 145 - 151
  • [33] Strong convergence theorems for nonlinear operator equations with total quasi-φ-asymptotically nonexpansive mappings and applications
    Wang, Xiong-rui
    Chang, Shih-sen
    Wang, Lin
    Tang, Yong-Kun
    Xu, Yu Guang
    FIXED POINT THEORY AND APPLICATIONS, 2012, : 1 - 16
  • [34] Modified Hybrid Algorithm for a Family of Quasi-φ-Asymptotically Nonexpansive Mappings
    Xu, Yongchun
    Zhang, Xin
    Kang, Jinlong
    Su, Yongfu
    FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [35] A strong convergence theorem for solutions of equilibrium problems and asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense
    Yuan Qing
    Songtao Lv
    Fixed Point Theory and Applications, 2013
  • [36] A strong convergence theorem for solutions of equilibrium problems and asymptotically quasi-φ-nonexpansive mappings in the intermediate sense
    Qing, Yuan
    Lv, Songtao
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [37] Strong Convergence for a Countable Family of Total Quasi-φ-asymptotically Nonexpansive Nonself Mappings in Banach Space
    WANG XIONG-RUI
    QUAN JING
    Ji You-qing
    Communications in Mathematical Research, 2015, 31 (01) : 31 - 39
  • [38] Strong convergence theorems for nonlinear operator equations with total quasi-ϕ-asymptotically nonexpansive mappings and applications
    Xiong-rui Wang
    Shih-sen Chang
    Lin Wang
    Yong-Kun Tang
    Yu Guang Xu
    Fixed Point Theory and Applications, 2012
  • [39] RATE OF CONVERGENCE OF MODIFIED MANN ITERATION FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
    Shehu, Yekini
    FIXED POINT THEORY, 2021, 22 (02): : 871 - 880
  • [40] On the convergence rate of the Halpern-iteration
    Felix Lieder
    Optimization Letters, 2021, 15 : 405 - 418
12345