Composite viscosity methods for common solutions of general mixed equilibrium problem, variational inequalities and common fixed points

被引：6

作者：

Ceng, Lu-Chuan ^{[1
,2
]}

Latif, Abdul ^{[3
]}

Al-Mazrooei, Abdullah E. ^{[4
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Shanghai Univ, Sci Comp Key Lab, Shanghai 200234, Peoples R China

[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[4] Univ Jeddah, Dept Math, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

composite viscosity iterative algorithm; general mixed equilibrium; variational inequalities; nonexpansive mapping; inverse strongly monotone mapping; STRONG-CONVERGENCE THEOREM; NONEXPANSIVE-MAPPINGS; EXTRAGRADIENT METHOD; WEAK-CONVERGENCE; APPROXIMATION METHODS; SPLIT FEASIBILITY; ITERATIVE METHOD; ALGORITHMS; INCLUSION;

D O I：

10.1186/s13660-015-0736-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new composite viscosity iterative algorithm and prove the strong convergence of the proposed algorithm to a common fixed point of one finite family of nonexpansive mappings and another infinite family of nonexpansive mappings, which also solves a general mixed equilibrium problem and a finite family of variational inequalities. An example is also provided in support of the main result. The main result presented in this paper improves and extends some corresponding ones in the earlier and recent literature.

引用

页数：34

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