Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces

被引：0
|
作者：
Withun Phuengrattana
Suthep Suantai
机构：
[1] Chiang Mai University,Department of Mathematics, Faculty of Science
[2] CHE,Centre of Excellence in Mathematics
来源：
Fixed Point Theory and Applications | / 2012卷
关键词：
fixed point; semitopological semigroup; reversible semigroup; amenable semigroup; generalized asymptotically nonexpansive semigroup; CAT(0) spaces;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove the existence of common fixed points for a generalized asymptotically nonexpansive semigroup {Ts:s∈S} in CAT(0) spaces, when S is a left reversible semitopological semigroup. We also prove Δ- and strong convergence of such a semigroup when S is a right reversible semitopological semigroup. Our results improve and extend the corresponding results existing in the literature.
引用
收藏
相关论文
共 50 条
  • [1] Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces
    Phuengrattana, Withun
    Suantai, Suthep
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012, : 1 - 12
  • [2] FIXED POINT THEOREMS FOR MEAN NONEXPANSIVE MAPPINGS IN CAT(0) SPACES
    Zhou, Jing
    Cui, Yunan
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2015, 36 (09) : 1224 - 1238
  • [3] Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces
    Nanjaras, B.
    Panyanak, B.
    Phuengrattana, W.
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (01) : 25 - 31
  • [4] Fixed point and convergence theorems for different classes of generalized nonexpansive mappings in CAT(0) spaces
    Abkar, Ali
    Eslamian, Mohammad
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (04) : 643 - 650
  • [5] FIXED POINT THEOREMS FOR A SEMIGROUP OF TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX BANACH SPACES
    Suantai, Suthep
    Phuengrattana, Withun
    [J]. OPUSCULA MATHEMATICA, 2014, 34 (01) : 183 - 197
  • [6] Fixed point theorems for asymptotically nonexpansive mappings in product spaces
    Vijayaraju, P
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 1998, 2 (01): : 97 - 105
  • [7] CONVERGENCE THEOREMS FOR TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN CAT (0) SPACES
    Thakur, Balwant Singh
    Thakur, Dipti
    Agarwal, Ravi P.
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (11) : 2059 - 2074
  • [8] CONVERGENCE THEOREMS OF FIXED POINT FOR GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES
    Saluja, Gurucharan Singh
    Nashine, Hemant Kumar
    [J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 2 (01): : 1 - 11
  • [9] 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
  • [10] 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
12345