A new explicit iteration method for variational inequalities on the set of common fixed points for a finite family of nonexpansive mappings

Journal of inequalities and applications

Jong Kyu Kim¹ 

关键词: contraction;    common fixed points;    hybrid steepest descent method;    nonexpansive mappings;    monotone mappings;   

DOI  :  10.1186/1029-242X-2013-419

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce a new explicit iteration method based on the steepest descent method and Krasnoselskii-Mann type method for finding a solution of a variational inequality involving a Lipschitz continuous and strongly monotone mapping on the set of common fixed points for a finite family of nonexpansive mappings in a real Hilbert space. MSC:41A65, 47H17, 47H20.

【 授权许可】

CC BY