Splitting methods for a convex feasibility problem in Hilbert spaces

被引：0

作者：

Zhang, Yunpeng ^{[1
]}

Li, Yanling ^{[2
]}

机构：

[1] North China Univ Water Resources & Elect Power, Coll Elect Power, Zhengzhou 450011, Peoples R China

[2] North China Univ Water Resources & Elect Power Un, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 05期

关键词：

Equilibrium problem; monotone operator; feasibility problem; Hilbert space; projection; FIXED-POINT PROBLEMS; EQUILIBRIUM PROBLEMS; STRONG-CONVERGENCE; ITERATIVE PROCESS; BANACH-SPACES; MAPPINGS; OPERATORS; WEAK;

D O I：

10.22436/jnsa.009.05.60

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a convex feasibility problem based on a splitting method. Strong convergence theorems are established without the aid of metric projections in the framework of real Hilbert spaces. (C) 2016 All rights reserved.

引用

页码：2638 / 2648

页数：11

共 30 条

[1]

Balooee J., 2013, NONLINEAR FUNCT ANAL, V18, P127

[2]

BARBU V., 1976, Editura Academiei Republicii Socialiste Romania

[3]

Bin Dehaish BA, 2015, J NONLINEAR CONVEX A, V16, P1321

[4] A viscosity splitting algorithm for solving inclusion and equilibrium problems [J].

Bin Dehaish, Buthinah A. ;

Latif, Abdul ;

Bakodah, Huda O. ;

Qin, Xiaolong .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,

[5]

Blum E., 1994, Math. student, V63, P123

[6] CONSTRUCTION OF FIXED POINTS OF NONLINEAR MAPPINGS IN HILBERT SPACE [J].

BROWDER, FE ;

PETRYSHY.WV .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1967, 20 (02) :197-&

[7] Generalized mixed equilibrium and fixed point problems in a Banach space [J].

Cho, Sun Young .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03) :1083-1092

[8] On the strong convergence of an iterative process for asymptotically strict pseudocontractions and equilibrium problems [J].

Cho, Sun Young ;

Qin, Xiaolong .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 235 :430-438

[9] Convergence analysis of an iterative algorithm for monotone operators [J].

Cho, Sun Young ;

Li, Wenling ;

Kang, Shin Min .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[10]

Cholamjiak W, 2015, J NONLINEAR SCI APPL, V8, P1245

← 1 2 3 →