Attractive points and convergence theorems for normally generalized hybrid mappings in CAT(0) spaces

被引：8
|
作者：
Kaewkhao, A. [1 ]
Inthakon, W. [1 ]
Kunwai, K. [1 ]
机构：
[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand
来源：
FIXED POINT THEORY AND APPLICATIONS | 2015年
关键词：
CAT(0) spaces; attractive points; (S) property; ((Q(4))over-bar) condition; normally generalized hybrid mappings; WEAK-CONVERGENCE; HILBERT-SPACES; BANACH-SPACES; FIXED-POINTS; NONEXPANSIVE-MAPPINGS; NONLINEAR MAPPINGS; METRIC-SPACES;
D O I：
10.1186/s13663-015-0336-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove Delta-convergence theorems of Mann type to the set of attractive points of normally generalized hybrid mappings in CAT(0) spaces. Consequently, our main result can be applied to the result of Takahashi, Wong and Yao (Journal of Nonlinear and Convex Analysis 15: 1087-1103, 2014, Theorem 5.1).
引用
收藏
页数：14
相关论文
共 50 条
  • [1] Attractive points and convergence theorems for normally generalized hybrid mappings in CAT(0) spaces
    A Kaewkhao
    W Inthakon
    K Kunwai
    [J]. Fixed Point Theory and Applications, 2015
  • [2] Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces
    Lai-Jiu Lin
    Chih-Sheng Chuang
    Zenn-Tsun Yu
    [J]. Fixed Point Theory and Applications, 2011
  • [3] Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces
    Lin, Lai-Jiu
    Chuang, Chih-Sheng
    Yu, Zenn-Tsun
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2011, : 1 - 15
  • [4] WEAK CONVERGENCE THEOREMS TO COMMON ATTRACTIVE POINTS OF NORMALLY 2-GENERALIZED HYBRID MAPPINGS WITH ERRORS
    Kondo, Atsumasa
    Takahashi, Wataru
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (11) : 2549 - 2570
  • [5] Δ-Convergence for Generalized Hybrid Mappings in CAT(0) Spaces
    Wangkeeree, Rabian
    Preechasilp, Pakkapon
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (03) : 1127 - 1141
  • [6] SOME CONVERGENCE THEOREMS FOR A HYBRID PAIR OF GENERALIZED NONEXPANSIVE MAPPINGS IN CAT(0) SPACES
    Uddin, Izhar
    Imdad, Mohammad
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (03) : 447 - 457
  • [7] STRONG CONVERGENCE THEOREMS FOR COMMON ATTRACTIVE POINTS OF WIDELY MORE GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES
    Thongpaen, Panadda
    Suantai, Suthep
    Inthakon, Warunun
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (04) : 715 - 722
  • [8] Further Generalized Hybrid Mappings and Common Attractive Points in CAT(0) Spaces: A New Iterative Process
    Zhao, Yuan
    Ali, Nasir
    Ul Haq, Absar
    Abbas, Mujahid
    [J]. IEEE ACCESS, 2019, 7 : 115208 - 115213
  • [9] Weak and Strong Convergence Theorems for Common Attractive Points of Widely More Generalized Hybrid Mappings in Hilbert Spaces
    Thongpaen, Panadda
    Kaewkhao, Attapol
    Phudolsitthiphat, Narawadee
    Suantai, Suthep
    Inthakon, Warunun
    [J]. MATHEMATICS, 2021, 9 (19)
  • [10] ATTRACTIVE POINT AND WEAK CONVERGENCE THEOREMS FOR NEW GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES
    Takahashi, Wataru
    Wong, Ngai-Ching
    Yao, Jen-Chih
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2012, 13 (04) : 745 - 757
12345