Minimum-norm fixed point of nonexpansive mappings with applications

被引：8

作者：

Zhou, Haiyun ^{[1
,2
]}

Wang, Peiyuan ^{[1
]}

Zhou, Yu ^{[1
]}

机构：

[1] Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang, Peoples R China

[2] Hebei Normal Univ, Dept Math & Informat, Shijiazhuang, Peoples R China

来源：

OPTIMIZATION | 2015年 / 64卷 / 04期

基金：

中国国家自然科学基金;

关键词：

47H05; 65J15; 47H09; Meir-Keeler contraction; nonoexpansive nonself-mappings; metric projection; strong convergence; minimum-norm fixed point; VISCOSITY APPROXIMATION METHODS; ITERATIVE ALGORITHMS; NONLINEAR OPERATORS; HILBERT SPACE; CONVERGENCE;

D O I：

10.1080/02331934.2013.811667

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The purpose of this paper is to present two new iterative algorithms to find the minimum norm fixed point of nonexpansive nonself-mappings in the framework of Hilbert spaces. The results presented in this paper improve and extend the corresponding ones announced by Yao and Xu [Yao Y, Xu HK. Iterative methods for finding minimum norm fixed point of mappings with applications. Optimization. 2011;60:645-658] and many others. Some applications to convex minimization and split feast problems(SFP) are also included.

引用

页码：799 / 814

页数：16

共 50 条

[1] 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
[2] MINIMUM-NORM FIXED POINT OF NONEXPANSIVE NONSELF MAPPINGS IN HILBERT SPACES
Liu, Xia
Cui, Yanlan
[J]. FIXED POINT THEORY, 2012, 13 (01): : 129 - 136
[3] 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
[4] Finding Minimum Norm Fixed Point of Nonexpansive Mappings and Applications
Yang, Xue
Liou, Yeong-Cheng
Yao, Yonghong
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2011, 2011
[5] Iterative methods for finding minimum-norm fixed points of nonexpansive mappings with applications
Yao, Yonghong
Xu, Hong-Kun
[J]. OPTIMIZATION, 2011, 60 (06) : 645 - 658
[6] Minimum-Norm Fixed Point of Pseudocontractive Mappings
Zegeye, Habtu
Shahzad, Naseer
Alghamdi, Mohammad Ali
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[7] 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,
[8] 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
[9] Approximating the minimum-norm fixed point of pseudocontractive mappings
Zegeye, H.
Daman, O. A.
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (02)
[10] Approximation of a common minimum-norm fixed point of a finite family of σ-asymptotically quasi-nonexpansive mappings with applications
Pathak, Hemant Kumar
Sahu, Vinod Kumar
Cho, Yeol Je
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 3240 - 3254

← 1 2 3 4 5 →