Viscosity approximation methods for a family of m-accretive mappings in reflexive Banach spaces

被引：19
|
作者：
Cho, Yeol Je [1 ]
Qin, Xiaolong
机构：
[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
来源：
POSITIVITY | 2008年 / 12卷 / 03期
关键词：
accretive mapping; pseudo-contractive mapping; m-accretive mapping; reflexive Banach space; weakly continuous duality mapping;
D O I：
10.1007/s11117-007-2181-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to introduce a general iterative algorithm by viscosity method to approximate a common point of a finite family of m-accretive mappings in a reflexive Banach space which has a weakly continuous duality mapping. We obtain strong convergence theorems under some mild conditions imposed on parameters.
引用
收藏
页码：483 / 494
页数：12
相关论文
共 50 条
  • [1] Viscosity approximation methods for a family of m-accretive mappings in reflexive Banach spaces
    Yeol Je Cho
    Xiaolong Qin
    Positivity, 2008, 12 : 483 - 494
  • [2] Path Convergence and Approximation of Common Zeroes of a Finite Family of m-Accretive Mappings in Banach Spaces
    Shehu, Yekini
    Ezeora, Jerry N.
    ABSTRACT AND APPLIED ANALYSIS, 2010,
  • [3] HYBRID VISCOSITY ITERATIVE APPROXIMATION OF ZEROS OF M-ACCRETIVE OPERATORS IN BANACH SPACES
    Ceng, L. C.
    Petrusel, A.
    Wong, M. M.
    TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (06): : 2459 - 2481
  • [4] HYBRID VISCOSITY APPROXIMATION METHOD FOR ZEROS OF m-ACCRETIVE OPERATORS IN BANACH SPACES
    Ceng, Lu-Chuan
    Ansari, Qamrul Hasan
    Schaible, Siegfried
    Yao, Jen-Chih
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2012, 33 (02) : 142 - 165
  • [5] ON PERTURBATIONS OF LINEAR M-ACCRETIVE OPERATORS ON REFLEXIVE BANACH-SPACES
    ENGEL, KJ
    MONATSHEFTE FUR MATHEMATIK, 1995, 119 (04): : 259 - 265
  • [6] Convergence of Iterative Sequences for Common Zero Points of a Family of m-Accretive Mappings in Banach Spaces
    Qing, Yuan
    Cho, Sun Young
    Qin, Xiaolong
    FIXED POINT THEORY AND APPLICATIONS, 2011,
  • [7] Some results on zero points of m-accretive operators in reflexive Banach spaces
    Wu, Chang Qun
    Lv, Songtao
    Zhang, Yunpeng
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [8] Some results on zero points of m-accretive operators in reflexive Banach spaces
    Chang Qun Wu
    Songtao Lv
    Yunpeng Zhang
    Fixed Point Theory and Applications, 2014
  • [9] Iterative approximation of a common zero of a countably infinite family of m-accretive operators in Banach spaces
    Ofoedu, E. U.
    FIXED POINT THEORY AND APPLICATIONS, 2008,
  • [10] Regularization methods for nonlinear Ill-posed equations involving m-accretive mappings in Banach spaces
    Buong N.
    Phuong N.T.H.
    Russian Mathematics, 2013, 57 (2) : 58 - 64
12345