APPROXIMATING COMMON FIXED POINTS OF NONEXPANSIVE MAPPINGS IN BANACH SPACES

被引:0
|
作者
Aleyner, Arkady [1 ]
Reich, Simeon [1 ]
机构
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源
FIXED POINT THEORY | 2009年 / 10卷 / 01期
基金
以色列科学基金会;
关键词
Common fixed point; iteration process; nonexpansive mapping; CONVEX FEASIBILITY PROBLEMS; STRONG-CONVERGENCE THEOREMS; WEAK CONVERGENCE; OPTIMIZATION; CONTRACTIONS; PROJECTIONS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Two algorithmic frameworks for finding a common fixed point of a finite collection of nonexpansive mappings in uniformly convex and uniformly smooth Banach spaces, respectively, are proposed. Corresponding weak and strong convergence theorems are established.
引用
收藏
页码:3 / 17
页数:15
相关论文
共 50 条
  • [1] Approximating common fixed points of two nonexpansive mappings in Banach spaces
    Atsushiba, S
    Takahashi, W
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1998, 57 (01) : 117 - 127
  • [2] Approximating Fixed Points of Generalized α-Nonexpansive Mappings in Banach Spaces
    Pant, Rajendra
    Shukla, Rahul
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (02) : 248 - 266
  • [3] Approximating Common Fixed Points of Bregman Weakly Relatively Nonexpansive Mappings in Banach Spaces
    Pang, Chin-Tzong
    Naraghirad, Eskandar
    [J]. JOURNAL OF FUNCTION SPACES, 2014, 2014
  • [4] 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
  • [5] Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces
    Shahzad, Naseer
    Udomene, Aniefiok
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2006, 2006 (1)
  • [6] APPROXIMATING COMMON FIXED POINTS OF TWO ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES
    Yildirim, Isa
    Ozdemir, Murat
    [J]. TAMKANG JOURNAL OF MATHEMATICS, 2011, 42 (01): : 19 - 30
  • [7] Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces
    Naseer Shahzad
    Aniefiok Udomene
    [J]. Fixed Point Theory and Applications, 2006
  • [8] Common fixed points of two nonexpansive mappings in Banach spaces
    Suzuki, T
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2004, 69 (01) : 1 - 18
  • [9] Approximating common fixed points of mean nonexpansive mappings in hyperbolic spaces
    Ezeora, Jeremiah N.
    Izuchukwu, Chinedu
    Mebawondu, Akindele Adebayo
    Mewomo, Oluwatosin Temitope
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 459 - 471
  • [10] Approximating Common Fixed Points of Mean Nonexpansive Mappings in Hyperbolic Spaces
    Ezeora, Jeremiah N.
    Izuchukwu, Chinedu
    Mebawondu, Akindele A.
    Mewomo, Oluwatosin T.
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (01): : 231 - 244