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

作者：Kim Jong Kyu^*; Nguyen Buong

来源：Journal of Inequalities and Applications, 2013, 2013(1): 419.

DOI：10.1186/1029-242X-2013-419

• contraction
• common fixed points
• hybrid steepest descent method
• nonexpansive mappings
• monotone mappings

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.

• 出版日期2013-9-3