AN ALGORITHMIC APPROACH TO THE SPLIT VARIATIONAL INEQUALITY AND FIXED POINT PROBLEM

被引：0

作者：

Yao, Yonghong ^{[1
]}

Shahzad, Naseer ^{[2
]}

机构：

[1] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China

[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2017年 / 18卷 / 05期

关键词：

Split problem; variational inequality; fixed point; MINIMUM-NORM SOLUTIONS; NONEXPANSIVE-MAPPINGS; HILBERT-SPACES; FEASIBILITY PROBLEM; STRONG-CONVERGENCE; APPROXIMATION METHODS; ITERATIVE ALGORITHM; COMMON SOLUTION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The split variational inequality and fixed point problem under nonlinear transformations has been considered. An iterative algorithm is presented to solve this split problem and the strong convergence results are demonstrated.

引用

页码：977 / 991

页数：15

共 29 条

[21] Split common fixed point problem for two quasi-pseudo-contractive operators and its algorithm construction [J].

Yao, Yonghong ;

Liou, Yeong-Cheng ;

Yao, Jen-Chih .

FIXED POINT THEORY AND APPLICATIONS, 2015,

[22] Algorithms with strong convergence for the split common solution of the feasibility problem and fixed point problem [J].

Yao, Yonghong ;

Agarwal, Ravi P. ;

Postolache, Mihai ;

Liou, Yeong-Cheng .

FIXED POINT THEORY AND APPLICATIONS, 2014,

[23] Strong convergence of a self-adaptive method for the split feasibility problem [J].

Yao, Yonghong ;

Postolache, Mihai ;

Liou, Yeong-Cheng .

FIXED POINT THEORY AND APPLICATIONS, 2013,

[24] Regularized Methods for the Split Feasibility Problem [J].

Yao, Yonghong ;

Wu Jigang ;

Liou, Yeong-Cheng .

ABSTRACT AND APPLIED ANALYSIS, 2012,

[25] Strong Convergence of a Modified Extragradient Method to the Minimum-Norm Solution of Variational Inequalities [J].

Yao, Yonghong ;

Noor, Muhammad Aslam ;

Liou, Yeong-Cheng .

ABSTRACT AND APPLIED ANALYSIS, 2012,

[26] Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method [J].

Yao, Yonghong ;

Liou, Yeong-Cheng ;

Kang, Shin Min .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (11) :3472-3480

[27] Schemes for finding minimum-norm solutions of variational inequalities [J].

Yao, Yonghong ;

Chen, Rudong ;

Xu, Hong-Kun .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (7-8) :3447-3456

[28]

[张丽娟 Zhang Lijuan], 2010, [数学学报, Acta Mathematica Sinica], V53, P691

[29] Demiclosedness principle with applications for asymptotically pseudo-contractions in Hilbert spaces [J].

Zhou, Haiyun .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) :3140-3145

← 1 2 3 →