Strong convergence of a general iterative algorithm in Hilbert spaces

Journal of inequalities and applications

Songtao Lv¹ 

关键词: nonexpansive mapping;    viscosity approximation method;    equilibrium problem;    fixed point;   

DOI  :  10.1186/1029-242X-2013-19

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, the problem of approximating a common element in the common fixed point set of an infinite family of nonexpansive mappings, in the solution set of a variational inequality involving an inverse-strongly monotone mapping and in the solution set of an equilibrium problem is investigated based on a general iterative algorithm. Strong convergence of the iterative algorithm is obtained in the framework of Hilbert spaces. The results obtained in this paper improve the corresponding results announced by many authors. AMS Subject Classification:47H09, 47J05, 47J25.

【 授权许可】

CC BY