Strong convergence theorems for nonexpansive type and non-self multi-valued mappings

被引：26
|
作者：
Sahu, DR [1 ]
机构：
[1] Govt HSS Kumhari, Durg 490042, Madhya Pradesh, India
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 37卷 / 03期
关键词：
fixed point; Banach limit; nonexpansive mapping;
D O I：
10.1016/S0362-546X(98)00056-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Approximating fixed points of a nonexpansive-type multivalued mapping have been proven to be strongly convergent in Hilbert space. However, in many applications, the multivalued mappings are not self-mappings. Some strong convergence theorems are established for nonexpansive-type and nonself-multivalued mappings in uniformly convex Banach spaces with a Gateaux differentiable norm.
引用
收藏
页码：401 / 407
页数：7
相关论文
共 50 条
  • [21] Strong convergence theorems by Halpern-Mann iterations for multi-valued relatively nonexpansive mappings in Banach spaces with applications
    Zhu, Jin-hua
    Chang, Shih-sen
    Liu, Min
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [22] Strong convergence theorems by Halpern-Mann iterations for multi-valued relatively nonexpansive mappings in Banach spaces with applications
    Jin-hua Zhu
    Shih-sen Chang
    Min Liu
    [J]. Journal of Inequalities and Applications, 2012
  • [23] Weak and strong convergence to common fixed points of non-self nonexpansive mappings
    Yongfu S.
    Xiaolong Q.
    [J]. Journal of Applied Mathematics and Computing, 2007, 24 (1-2) : 437 - 448
  • [24] Convergence results of multi-valued nonexpansive mappings in Banach spaces
    He, Huimin
    Liu, Sanyang
    Chen, Rudong
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [25] Convergence results of multi-valued nonexpansive mappings in Banach spaces
    Huimin He
    Sanyang Liu
    Rudong Chen
    [J]. Journal of Inequalities and Applications, 2014
  • [26] Convergence theorems for total asymptotically nonexpansive non-self mappings in CAT(0) spaces
    Lin Wang
    Shih-sen Chang
    Zhaoli Ma
    [J]. Journal of Inequalities and Applications, 2013
  • [27] Convergence theorems for total asymptotically nonexpansive non-self mappings in CAT(0) spaces
    Wang, Lin
    Chang, Shih-sen
    Ma, Zhaoli
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [28] Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings
    Feng, YQ
    Liu, SY
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 317 (01) : 103 - 112
  • [29] Fixed Point Theorems for Multi-valued Nonexpansive Mappings in Banach Spaces
    Bounegab, Zineb
    Djebali, Smail
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (02)
  • [30] Fixed Point Theorems for Multi-valued Nonexpansive Mappings in Banach Spaces
    Zineb Bounegab
    Smaïl Djebali
    [J]. Mediterranean Journal of Mathematics, 2019, 16
12345