Abstract and Applied Analysis
Volume 2007 (2007), Article ID 37217, 9 pages
Global Bounds for Cocoercive Variational Inequalities
Department of Mathematics, Guangxi Normal University, Guilin 541004, Guangxi, China
Received 11 May 2007; Revised 3 September 2007; Accepted 14 November 2007
Academic Editor: Vy Khoi Le
Copyright © 2007 Fan Jianghua and Wang Xiaoguo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
By using the strong monotonicity of the perturbed fixed-point map and the normal map associated with cocoercive variational inequalities, we establish two new global bounds measuring the distance between any point and the solution set for cocoercive variational inequalities.