MINIMUM-NORM FIXED POINT OF NONEXPANSIVE NONSELF MAPPINGS IN HILBERT SPACES

被引：0

作者：

Liu, Xia ^{[1
]}

Cui, Yanlan

机构：

[1] Yulin Univ, Dept Math, Yulin 719000, Shaaxi, Peoples R China

来源：

FIXED POINT THEORY | 2012年 / 13卷 / 01期

关键词：

Nonexpansive nonself mapping; nearest point projection; fixed point; minimum-norm; Browder's method; Halpern's method; weak inwardness condition; STRONG-CONVERGENCE THEOREMS; BANACH-SPACES; ITERATIVE METHOD; VARIATIONAL-INEQUALITIES; REGULARIZATION METHOD; ACCRETIVE-OPERATORS; APPROXIMATION; ALGORITHM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Both implicit and explicit methods are introduced to find the minimum-norm fixed point cif a nonexpansive nonself mapping from a closed convex subset C of a Hilbert space H into H and satisfying the weak inwardness condition. Our idea is to apply the nearest point projection P-C to the well-known Browder's implicit and Halpern's explicit methods.

引用

页码：129 / 136

页数：8

共 50 条

[1] Minimum-norm fixed point of nonexpansive mappings with applications
Zhou, Haiyun
Wang, Peiyuan
Zhou, Yu
[J]. OPTIMIZATION, 2015, 64 (04) : 799 - 814
[2] Iterative algorithms for finding minimum-norm fixed point of nonexpansive mappings and applications
Tang, Yuchao
Liu, Liwei
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (08) : 1137 - 1146
[3] Minimum-Norm Fixed Point of Pseudocontractive Mappings
Zegeye, Habtu
Shahzad, Naseer
Alghamdi, Mohammad Ali
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[4] Approximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings
Zegeye, H.
Shahzad, N.
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
[5] Approximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings
H Zegeye
N Shahzad
[J]. Fixed Point Theory and Applications, 2013
[6] Approximating the minimum-norm fixed point of pseudocontractive mappings
Zegeye, H.
Daman, O. A.
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (02)
[7] A Modified Mann Iteration by Boundary Point Method for Finding Minimum-Norm Fixed Point of Nonexpansive Mappings
He, Songnian
Zhu, Wenlong
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[8] Iterative algorithms for finding minimum-norm fixed point of a finite family of nonexpansive mappings and applications
Tang, Yuchao
Zong, Chunxiang
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (12): : 5980 - 5994
[9] Construction of minimum-norm fixed points of pseudocontractions in Hilbert spaces
Yonghong Yao
Giuseppe Marino
Hong-Kun Xu
Yeong-Cheng Liou
[J]. Journal of Inequalities and Applications, 2014
[10] Construction of minimum-norm fixed points of pseudocontractions in Hilbert spaces
Yao, Yonghong
Marino, Giuseppe
Xu, Hong-Kun
Liou, Yeong-Cheng
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,

← 1 2 3 4 5 →