CQ Method for Strictly Pseudo-Contractive Mapping

被引：0

作者：

黄家琳 ^{[1
]}

陈世群 ^{[2
]}

机构：

[1] Department of Mathematics,Yibin University

[2] School of Mathematics,Southwest Jiaotong University

来源：

Journal of Southwest Jiaotong University(English Edition) | 2009年 / 04期

关键词：

k-Strictly pseudo-contractive mapping; CQ method; Metric projection;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

This paper obtains a strong convergence theorem for k-strictly pseudo-contractive mapping under the framework of Hilbert spaces using CQ method.Due to the fact that non-expansive mapping is only 0-strictly pseudo-contractive,the main result obtained in this paper extends the corresponding main result of Nakajo-Takahashi from non-expansive mapping to k-strictly pseudo-contractive one,where k∈[0,1).

引用

页码：355 / 358

页数：4

共 50 条

[1] CQ METHOD FOR APPROXIMATING FIXED POINTS OF NONEXPANSIVE SEMIGROUPS AND STRICTLY PSEUDO-CONTRACTIVE MAPPINGS
Piri, Hossein
Rahrovi, Samira
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2017, 50 (02) : 513 - 530
[2] FIXED-POINT ITERATION FOR LOCAL STRICTLY PSEUDO-CONTRACTIVE MAPPING
WENG, XL
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 113 (03) : 727 - 731
[3] ITERATIVE METHODS FOR STRICTLY PSEUDO-CONTRACTIVE MAPPINGS
Yang, Liu
Yan, Hao
MEASUREMENT TECHNOLOGY AND ENGINEERING RESEARCHES IN INDUSTRY, PTS 1-3, 2013, 333-335 : 1402 - +
[4] Iterative process for a strictly pseudo-contractive mapping in uniformly convex Banach spaces
Zhou, Yu
Zhou, Haiyun
Wang, Peiyuan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[5] Approximation of fixed points of strictly pseudo-contractive mapping without Lipschitz assumption
Huang Z.
Applied Mathematics-A Journal of Chinese Universities, 2000, 15 (1) : 73 - 77
[6] Iterative process for a strictly pseudo-contractive mapping in uniformly convex Banach spaces
Yu Zhou
Haiyun Zhou
Peiyuan Wang
Journal of Inequalities and Applications, 2014
[7] APPROXIMATION OF FIXED POINTS OF STRICTLY PSEUDO-CONTRACTIVE MAPPING WITHOUT LIPSCHITZ ASSUMPTION
Huang ZhenyuDept. of Math.
AppliedMathematics:AJournalofChineseUniversities, 2000, (01) : 73 - 77
[8] Convergence theorem of κ-strictly pseudo-contractive mapping and a modifA±cation of generalized equilibrium problems
Kangtunyakarn, Atid
FIXED POINT THEORY AND APPLICATIONS, 2012,
[9] Strong convergence theorems for k-strictly pseudo-contractive mapping in Hilbert spaces
Lu, Qiuxia
Hao, Yan
Proceedings of the 2016 3rd International Conference on Mechatronics and Information Technology (ICMIT), 2016, 49 : 569 - 572
[10] Convergence theorem of κ-strictly pseudo-contractive mapping and a modifıcation of generalized equilibrium problems
Atid Kangtunyakarn
Fixed Point Theory and Applications, 2012

← 1 2 3 4 5 →