Convergence of a Hybrid Projection Algorithm in Banach Spaces

被引：11
|
作者：
Qin, X. L. [2 ]
Cho, Y. J. [1 ]
Kang, S. M. [2 ]
Zhou, H. Y. [3 ]
机构：
[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[2] Gyeongsang Natl Univ, Dept Math & RINS, Chinju 660701, South Korea
[3] Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2009年 / 108卷 / 02期
关键词：
Strong convergence; Projection; Nonexpansive mapping; Quasi-phi-nonexpansive mapping; Common fixed point; RELATIVELY NONEXPANSIVE-MAPPINGS; FIXED-POINTS; THEOREMS; APPROXIMATION; WEAK;
D O I：
10.1007/s10440-008-9313-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a hybrid projection algorithm for two families of quasi-phi-nonexpansive mappings. We establish strong convergence theorems of common fixed points in the framework of Banach spaces. Our results improve and extend the corresponding results announced by many others.
引用
收藏
页码：299 / 313
页数：15
相关论文
共 50 条
  • [1] Convergence of a Hybrid Projection Algorithm in Banach Spaces
    X. L. Qin
    Y. J. Cho
    S. M. Kang
    H. Y. Zhou
    [J]. Acta Applicandae Mathematicae, 2009, 108 : 299 - 313
  • [2] CONVERGENCE ANALYSIS OF A MONOTONE PROJECTION ALGORITHM IN REFLEXIVE BANACH SPACES
    Qin, Xiaolong
    Cho, Sun Young
    [J]. ACTA MATHEMATICA SCIENTIA, 2017, 37 (02) : 488 - 502
  • [3] CONVERGENCE ANALYSIS OF A MONOTONE PROJECTION ALGORITHM IN REFLEXIVE BANACH SPACES
    秦小龙
    Sun Young CHO
    [J]. Acta Mathematica Scientia(English Series)., 2017, 37 (02) - 502
  • [4] CONVERGENCE ANALYSIS OF A MONOTONE PROJECTION ALGORITHM IN REFLEXIVE BANACH SPACES
    秦小龙
    Sun Young CHO
    [J]. Acta Mathematica Scientia, 2017, 37 (02) : 488 - 502
  • [5] Strong convergence of a hybrid projection algorithm for approximation of a common element of three sets in Banach spaces
    [J]. Ni, R.-X. (nrx64@yahoo.com.cn), 1600, World Scientific and Engineering Academy and Society, Ag. Ioannou Theologou 17-23, Zographou, Athens, 15773, Greece (12):
  • [6] Strong convergence of hybrid Bregman projection algorithm for split feasibility and fixed point problems in Banach spaces
    Chen, Jin-Zuo
    Hu, Hui-Ying
    Ceng, Lu-Chuan
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (01): : 192 - 204
  • [7] A HYBRID PROJECTION ALGORITHM FOR A SPLIT EQUALITY PROBLEM IN BANACH SPACES
    Ma, Z. L.
    Wang, L.
    Zou, S. F.
    Sun, X.
    [J]. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2021, 2021
  • [8] Convergence of a hybrid algorithm for a reversible semigroup of nonlinear operators in Banach spaces
    Kim, Kyung Soo
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (10) : 3413 - 3419
  • [9] A new projection and convergence theorems for the projections in Banach spaces
    Ibaraki, Takanori
    Takahashi, Wataru
    [J]. JOURNAL OF APPROXIMATION THEORY, 2007, 149 (01) : 1 - 14
  • [10] ON CONVERGENCE OF THE PROXIMAL POINT ALGORITHM IN BANACH SPACES
    Matsushita, Shin-ya
    Xu, Li
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (11) : 4087 - 4095
12345