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

Journal of inequalities and applications

Mozhgan Bagherboum¹ 

关键词: viscosity approximation method;    nonexpansive mapping;    equilibrium problem;    W-mapping;    Hilbert space;   

DOI  :  10.1186/1029-242X-2014-513

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:47H09, 47H10, 47J20.

【 授权许可】

CC BY