Viscosity Projection Algorithms for Pseudocontractive Mappings in Hilbert Spaces

被引:0
|
作者
Pan, Xiujuan [1 ,2 ]
Kang, Shin Min [3 ,4 ]
Kwun, Young Chel [5 ]
机构
[1] Tianjin Polytech Univ, Sch Sci, Tianjin 300387, Peoples R China
[2] Tianjin Univ, Coll Management & Econ, Tianjin 300072, Peoples R China
[3] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea
[4] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea
[5] Dong A Univ, Dept Math, Pusan 614714, South Korea
基金
中国国家自然科学基金;
关键词
PSEUDO-CONTRACTIVE MAPPINGS; STRONG-CONVERGENCE; BANACH-SPACES; FIXED-POINTS; ITERATION METHOD; LIPSCHITZ PSEUDOCONTRACTIONS; AVERAGED APPROXIMANTS;
D O I
10.1155/2014/791209
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An explicit projection algorithm with viscosity technique is constructed for finding the fixed points of the pseudocontractive mapping in Hilbert spaces. Strong convergence theorem is demonstrated. Consequently, as an application, we can approximate to the minimum-norm fixed point of the pseudocontractive mapping.
引用
收藏
页数:8
相关论文
共 50 条
  • [41] Convergence of Two Splitting Projection Algorithms in Hilbert Spaces
    Kutbi, Marwan A.
    Latif, Abdul
    Qin, Xiaolong
    MATHEMATICS, 2019, 7 (10)
  • [42] A System of Generalized Mixed Equilibrium Problems and Fixed Point Problems for Pseudocontractive Mappings in Hilbert Spaces
    Kumam, Poom
    Jaiboon, Chaichana
    FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [43] A System of Generalized Mixed Equilibrium Problems and Fixed Point Problems for Pseudocontractive Mappings in Hilbert Spaces
    Poom Kumam
    Chaichana Jaiboon
    Fixed Point Theory and Applications, 2010
  • [44] Hybrid iterative algorithms for nonexpansive and nonspreading mappings in Hilbert spaces
    Shenghua Wang
    Fixed Point Theory and Applications, 2013
  • [45] Hybrid iterative algorithms for nonexpansive and nonspreading mappings in Hilbert spaces
    Wang, Shenghua
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [46] Projection methods for quasi-nonexpansive multivalued mappings in Hilbert spaces
    Padcharoen, Anantachai
    Sokhuma, Kritsana
    Abubakar, Jamilu
    AIMS MATHEMATICS, 2023, 8 (03): : 7242 - 7257
  • [47] A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces
    Tian, Ming
    Li, Min-Min
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [48] A regularization projection algorithm for various problems with nonlinear mappings in Hilbert spaces
    Bin Dehaish, Buthinah A.
    Latif, Abdul
    Bakodah, Huda O.
    Qin, Xiaolong
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [49] A regularization projection algorithm for various problems with nonlinear mappings in Hilbert spaces
    Buthinah A Bin Dehaish
    Abdul Latif
    Huda O Bakodah
    Xiaolong Qin
    Journal of Inequalities and Applications, 2015
  • [50] On G(λ)-strictly pseudocontractive mapping in Hilbert spaces
    Ogbuisi, F. U.
    Mewomo, O. T.
    JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2019, 34 (01) : 29 - 41