Convergence theorems for some multi-valued generalized nonexpansive mappings

被引:0
|
作者
Shih-sen Chang
Yong-kun Tang
Lin Wang
Yu-guang Xu
Yun-he Zhao
Gang Wang
机构
[1] Yunnan University of Finance and Economics,College of Statistics and Mathematics
[2] Kunming University,Department of Mathematics
关键词
multi-valued mapping satisfying condition (C); multi-valued generalized nonexpansive mapping; weak and strong convergence theorem;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we propose an algorithms for finding a common fixed point of an infinite family of multi-valued generalized nonexpansive mappings in uniformly convex Banach spaces. Under suitable conditions some strong and weak convergence theorems for such mappings are proved. The results presented in the paper improve and extend the corresponding results of Suzuki (J. Math. Anal. Appl. 340:1088-1095, 2008), Eslamian and Abkar (Math. Comput. Model. 54:105-111, 2011), Abbas et al. (Appl. Math. Lett. 24:97-102, 2011) and others.
引用
收藏
相关论文
共 50 条
  • [1] Convergence theorems for some multi-valued generalized nonexpansive mappings
    Chang, Shih-sen
    Tang, Yong-kun
    Wang, Lin
    Xu, Yu-guang
    Zhao, Yun-he
    Wang, Gang
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [2] Δ-convergence theorems for multi-valued nonexpansive mappings in hyperbolic spaces
    Chang, Shih-sen
    Wang, Gang
    Wang, Lin
    Tang, Yong Kun
    Ma, Zhao Li
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 249 : 535 - 540
  • [3] Fixed Point Theorems for Some Generalized Multi-Valued Nonexpansive Mappings in Hadamard Spaces
    Klangpraphan, Chayanit
    Panyanak, Bancha
    [J]. THAI JOURNAL OF MATHEMATICS, 2019, 17 (02): : 543 - 555
  • [4] Convergence Theorems for Multi-Valued Mappings
    Shehu, Yekini
    Ugwunnadi, G. C.
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2014, 37 (02) : 359 - 367
  • [5] Convergence theorems in Banach spaces for a pair of asymptotically and multi-valued nonexpansive mappings
    Akkasriworn, Naknimit
    Padcharoen, Anantachai
    [J]. JOURNAL OF ANALYSIS, 2023, 31 (03): : 1873 - 1893
  • [7] Convergence theorems in Banach spaces for a pair of asymptotically and multi-valued nonexpansive mappings
    Naknimit Akkasriworn
    Anantachai Padcharoen
    [J]. The Journal of Analysis, 2023, 31 : 1873 - 1893
  • [8] Weak and strong convergence theorems for relatively nonexpansive multi-valued mappings in Banach spaces
    Simin Homaeipour
    Abdolrahman Razani
    [J]. Fixed Point Theory and Applications, 2011
  • [9] Strong convergence theorems for nonexpansive type and non-self multi-valued mappings
    Sahu, DR
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 37 (03) : 401 - 407
  • [10] Weak and strong convergence theorems for relatively nonexpansive multi-valued mappings in Banach spaces
    Homaeipour, Simin
    Razani, Abdolrahman
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2011,