APPROXIMATING COMMON FIXED POINTS OF NEARLY ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

被引:0
|
作者
Safeer Hussain Khan [1 ]
Mujahid Abbas [2 ]
机构
[1] Qatar University
[2] Lahore University of Management Sciences
关键词
iteration scheme; nearly asymptotically nonexpansive mapping; rate of convergence; common fixed point; weak and strong convergence;
D O I
暂无
中图分类号
O177.91 [非线性泛函分析];
学科分类号
070104 ;
摘要
We use an iteration scheme to approximate common fixed points of nearly asymptotically nonexpansive mappings.We generalize corresponding theorems of [1] to the case of two nearly asymptotically nonexpansive mappings and those of [9] not only to a larger class of mappings but also with better rate of convergence.
引用
收藏
页码:76 / 91
页数:16
相关论文
共 50 条
  • [1] Approximating fixed points of total asymptotically nonexpansive mappings
    YaI Alber
    CE Chidume
    H Zegeye
    [J]. Fixed Point Theory and Applications, 2006
  • [2] Approximating fixed points of total asymptotically nonexpansive mappings
    Alber, Ya. I.
    Chidume, C. E.
    Zegeye, H.
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2006, 2006 (1)
  • [3] A New Iterative Algorithm for Approximating Common Fixed Points for Asymptotically Nonexpansive Mappings
    HY Zhou
    YJ Cho
    SM Kang
    [J]. Fixed Point Theory and Applications, 2007
  • [4] A new iterative algorithm for approximating common fixed points for asymptotically nonexpansive mappings
    Zhou, H. Y.
    Cho, Y. J.
    Kang, S. M.
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2007, 2007 (1)
  • [5] Approximating common fixed points of total asymptotically nonexpansive mappings in CAT(0) spaces
    Fukhar-ud-din, Hafiz
    Khan, Abdul Rahim
    Hussain, Nawab
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 771 - 779
  • [6] Approximating common fixed points of asymptotically nonexpansive mappings by composite algorithm in Banach spaces
    Qin, Xiaolong
    Su, Yongfu
    Shang, Meijuan
    [J]. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2007, 5 (02): : 345 - 357
  • [7] ITERATIVE CONSTRUCTION OF FIXED POINTS OF NEARLY ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
    Agarwal, R. P.
    O'Regan, Donal
    Sahu, D. R.
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2007, 8 (01) : 61 - 79
  • [8] COMMON FIXED POINTS FOR GENERALIZED ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
    Chandok, Sumit
    Narang, T. D.
    [J]. TAMKANG JOURNAL OF MATHEMATICS, 2013, 44 (01): : 23 - 29
  • [9] Common fixed points of jointly asymptotically nonexpansive mappings
    Abbas, M.
    Khan, S. H.
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2011, 35 (A3): : 209 - 216
  • [10] Approximating Common Fixed Points of Asymptotically Quasi-Nonexpansive Mappings by a New Iterative Process
    Isa Yildirim
    Murat Özdemir
    [J]. Arabian Journal for Science and Engineering, 2011, 36 : 393 - 403