The hybrid steepest descent method for solving variational inequality over triple hierarchical problems

被引：0
作者：
Nopparat Wairojjana
Thanyarat Jitpeera
Poom Kumam
机构：
[1] King Mongkut’s University of Technology Thonburi (KMUTT),Department of Mathematics, Faculty of Science
[2] Rajamangala University of Technology Lanna,Department of Mathematics, Faculty of Science and Agricultural Technology
来源：
Journal of Inequalities and Applications | / 2012卷
关键词：
nonexpansive mapping; strongly monotone mapping; strongly positive linear bounded operator; Lipchitz continuous; variational inequality; hierarchical fixed point;
D O I：
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摘要：
An explicit algorithm is introduced to solve the monotone variational inequality over a triple hierarchical problem. The strong convergence for the proposed algorithm to the solution is guaranteed under some assumptions. Our results extend those of Iiduka (Nonlinear Anal. 71:e1292-e1297, 2009), Marino and Xu (J. Optim. Theory Appl. 149(1):61-78, 2011), Yao et al. (Fixed Point Theory Appl. 2011:794203, 2011) and other authors.
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