FIXED POINT AND ERGODIC THEOREMS FOR λ-HYBRID MAPPINGS IN HILBERT SPACES

被引:0
|
作者
Aoyama, Koji [1 ]
Iemoto, Shigeru [2 ]
Kohsaka, Fumiaki [3 ]
Takahashi, Wataru [4 ]
机构
[1] Chiba Univ, Dept Econ, Inage Ku, Chiba 2638522, Japan
[2] Chuo Univ, Suginami High Sch, Suginami Ku, Tokyo 1670035, Japan
[3] Oita Univ, Dept Comp Sci & Intelligent Syst, Oita 8701192, Japan
[4] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan
关键词
Nonexpansive mapping; nonspreading mapping; hybrid mapping; fixed point theorem; ergodic theorem; NONEXPANSIVE-MAPPINGS; CONVERGENCE THEOREMS; BANACH-SPACES; CONTRACTIONS; WEAK;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We first introduce the class of lambda-hybrid mappings in Hilbert spaces. This class contains the classes of nonexpansive mappings, nonspreading mappings, and hybrid mappings in Hilbert spaces. Then we show some fixed point, theorems and ergodic theorems for such mappings.
引用
收藏
页码:335 / 343
页数:9
相关论文
共 50 条
  • [1] FIXED POINT THEOREMS AND ERGODIC THEOREMS FOR NONLINEAR MAPPINGS IN HILBERT SPACES
    Takahashi, Wataru
    Yao, Jen-Chih
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (02): : 457 - 472
  • [2] Fixed point theorems for hybrid multivalued mappings in Hilbert spaces
    Cholamjiak, P.
    Cholamjiak, W.
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2016, 18 (03) : 673 - 688
  • [3] Fixed point theorems for hybrid multivalued mappings in Hilbert spaces
    P. Cholamjiak
    W. Cholamjiak
    [J]. Journal of Fixed Point Theory and Applications, 2016, 18 : 673 - 688
  • [4] FIXED POINT AND NONLINEAR ERGODIC THEOREMS FOR NEW NONLINEAR MAPPINGS IN HILBERT SPACES
    Kawasaki, Toshiharu
    Takahashi, Wataru
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2012, 13 (03) : 529 - 540
  • [5] FIXED POINT AND MEAN ERGODIC THEOREMS FOR NEW NONLINEAR MAPPINGS IN HILBERT SPACES
    Maruyama, Toru
    Takahashi, Wataru
    Yao, Masayuki
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2011, 12 (01) : 185 - 197
  • [6] ATTRACTIVE POINT THEOREMS AND ERGODIC THEOREMS FOR NONLINEAR MAPPINGS IN HILBERT SPACES
    Lin, Lai-Jiu
    Takahashi, Wataru
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (05): : 1763 - 1779
  • [7] FIXED POINT THEOREMS AND WEAK CONVERGENCE THEOREMS FOR GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES
    Kocourek, Pavel
    Takahashi, Wataru
    Yao, Jen-Chih
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (06): : 2497 - 2511
  • [8] FIXED POINT THEOREMS FOR NEW GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES AND APPLICATIONS
    Takahashi, Wataru
    Wong, Ngai-Ching
    Yao, Jen-Chih
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2013, 17 (05): : 1597 - 1611
  • [9] Ergodic and fixed point theorems for sequences and nonlinear mappings in a Hilbert space
    Rouhani, Behzad Djafari
    [J]. DEMONSTRATIO MATHEMATICA, 2018, 51 (01) : 27 - 36
  • [10] UNIQUE FIXED POINT THEOREMS FOR NONLINEAR MAPPINGS IN HILBERT SPACES
    Takahashi, Wataru
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2014, 15 (05) : 831 - 849