The modified general iterative methods for asymptotically nonexpansive semigroups in Banach spaces

被引：0
|
作者：
Rabian Wangkeeree
Pakkapon Preechasilp
机构：
[1] Naresuan University,Department of Mathematics, Faculty of Science
[2] Centre of Excellence in Mathematics,undefined
[3] CHE,undefined
来源：
Journal of Inequalities and Applications | / 2013卷 / 1期
关键词：
Banach Space; Variational Inequality; Convex Subset; Nonexpansive Mapping; Duality Mapping;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce the modified general iterative methods for finding a common fixed point of asymptotically nonexpansive semigroups, which is a unique solution of some variational inequality. We prove the strong convergence theorems of such iterative scheme in a real Banach space which has a uniformly Gâteaux differentiable norm and admits the duality mapping jφ and uniform normal structure. The main result extends various results existing in the current literature.
引用
收藏
相关论文
共 50 条
  • [1] The modified general iterative methods for asymptotically nonexpansive semigroups in Banach spaces
    Wangkeeree, Rabian
    Preechasilp, Pakkapon
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [2] The General Iterative Methods for Asymptotically Nonexpansive Semigroups in Banach Spaces
    Wangkeeree, Rabian
    Preechasilp, Pakkapon
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [3] The modified general iterative methods for nonexpansive semigroups in banach spaces
    Wangkeeree, Rabian
    Preechasilp, Pakkapon
    FIXED POINT THEORY AND APPLICATIONS, 2011, : 1 - 15
  • [4] The modified general iterative methods for nonexpansive semigroups in banach spaces†
    Rabian Wangkeeree
    Pakkapon Preechasilp
    Fixed Point Theory and Applications, 2011
  • [5] The general iterative methods for nonexpansive semigroups in Banach spaces
    Rattanaporn Wangkeeree
    Rabian Wangkeeree
    Journal of Global Optimization, 2013, 55 : 417 - 436
  • [6] The general iterative methods for nonexpansive semigroups in Banach spaces
    Wangkeeree, Rattanaporn
    Wangkeeree, Rabian
    JOURNAL OF GLOBAL OPTIMIZATION, 2013, 55 (02) : 417 - 436
  • [7] 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
  • [8] Strong convergence theorems for asymptotically nonexpansive semigroups in general Banach spaces
    Eshita, Kazutaka
    Miyake, Hiromichi
    Takahashi, Wataru
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 (05): : 621 - 640
  • [9] The general iterative methods for nonexpansive mappings in Banach spaces
    Wangkeeree, Rattanaporn
    Petrot, Narin
    Wangkeeree, Rabian
    JOURNAL OF GLOBAL OPTIMIZATION, 2011, 51 (01) : 27 - 46
  • [10] The general iterative methods for nonexpansive mappings in Banach spaces
    Rattanaporn Wangkeeree
    Narin Petrot
    Rabian Wangkeeree
    Journal of Global Optimization, 2011, 51 : 27 - 46
12345