Strong convergence theorems based on the viscosity approximation method for a countable family of nonexpansive mappings

被引：1

作者：

Bagherboum, Mozhgan ^{[1
]}

Razani, Abdolrahman ^{[2
]}

Park, Choonkil ^{[3
]}

机构：

[1] Islamic Azad Univ, Karaj Branch, Coll Basic Sci, Dept Math, Alborz, Karaj, Iran

[2] Imam Khomeini Int Univ, Fac Sci, Dept Math, Qazvin, Iran

[3] Hanyang Univ, Res Inst Nat Sci, Seoul 133791, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

viscosity approximation method; nonexpansive mapping; equilibrium problem; W-mapping; Hilbert space; COMMON FIXED-POINTS; VARIATIONAL-INEQUALITIES; WEAK-CONVERGENCE; INFINITE FAMILY; ALGORITHM;

D O I：

10.1186/1029-242X-2014-513

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a real Hilbert space, an iterative scheme is considered to obtain a common fixed point for a countable family of nonexpansive mappings. In addition, strong convergence to the common fixed point of this sequence is investigated. As an application, an equilibrium problem is solved. We also state more applications of this procedure to obtain a common fixed point of W-mappings.

引用

页数：15

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