STRONG CONVERGENCE OF ITERATIVE SCHEMES FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES

被引：0
|
作者：
Jung, Jong Soo [1 ]
机构：
[1] Dong A Univ, Dept Math, Pusan 604714, South Korea
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2010年 / 12卷 / 03期
关键词：
Viscosity approximation methods; Nonexpansive semi-groups; Common fixed points; implicit iterative scheme; explicit iterative scheme; Contraction; strictly convex; Uniformly Gateaux differentiable norm; Variational inequality; VISCOSITY APPROXIMATION METHODS; ACCRETIVE-OPERATORS; FIXED-POINTS; HILBERT-SPACES; THEOREMS; MAPPINGS; RESOLVENTS;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Strong convergences of the implicit iterative scheme and the. explicit iterative scheme for nonexpansive semigroup are established in a reflexive and strictly convex Banach space having a uniformly Gateuax differentiable norm. Certain different control conditions of tire explicit iterative scheme are given.
引用
下载
收藏
页码：613 / 629
页数：17
相关论文
共 50 条
  • [1] Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces
    Liu, Lishan
    Liu, Chun
    Wang, Fang
    Wu, Yonghong
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (10): : 5695 - 5711
  • [2] STRONG CONVERGENCE OF PATHS FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES
    Kang, Shin Min
    Cho, Sun Young
    Kwun, Young Chel
    KOREAN JOURNAL OF MATHEMATICS, 2011, 19 (03): : 279 - 289
  • [3] Strong convergence of composite iterative schemes for a countable family of nonexpansive mappings in Banach spaces
    Klin-eam, Chakkrid
    Suantai, Suthep
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (02) : 431 - 439
  • [4] Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces
    Sachiko Atsushiba
    Wataru Takahashi
    Fixed Point Theory and Applications, 2005
  • [5] Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces
    Atsushiba, Sachiko
    Takahashi, Wataru
    FIXED POINT THEORY AND APPLICATIONS, 2005, 2005 (03) : 343 - 354
  • [6] Convergence on composite iterative schemes for nonexpansive mappings in Banach spaces
    Jung, Jong Soo
    FIXED POINT THEORY AND APPLICATIONS, 2008, 2008 (1)
  • [7] Convergence on Composite Iterative Schemes for Nonexpansive Mappings in Banach Spaces
    Jong Soo Jung
    Fixed Point Theory and Applications, 2008
  • [8] STRONG CONVERGENCE OF AN ITERATIVE METHOD FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES
    Wang, Lin
    Zheng, Yuchun
    Xie, Shaolong
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (11) : 1893 - 1903
  • [9] Strong Convergence Theorems for Semigroups of Asymptotically Nonexpansive Mappings in Banach Spaces
    Sahu, D. R.
    Wong, Ngai-Ching
    Yao, Jen-Chih
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [10] Strong Convergence Theorems for Nonexpansive Semigroups and Variational Inequalities in Banach Spaces
    Wang, Haiqing
    Su, Yongfu
    Zhang, Hong
    JOURNAL OF APPLIED MATHEMATICS, 2012,
12345