A new system of generalized nonlinear relaxed cocoercive variational inequalities. (27th April 2006)

• Record Type: Journal Article
• Authors: Ding, Ke; Yan, Wen-Yong; Huang, Nan-Jing
• Is Part Of: Journal of inequalities and applications. Volume 2006(2006)
• Publication Date: 2006-04-27
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/JIA/2006/40591
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : We introduce and study a new system of generalized nonlinear relaxed cocoercive inequality problems and construct an iterative algorithm for approximating the solutions of the system of generalized relaxed cocoercive variational inequalities in Hilbert spaces. We prove the existence of the solutions for the system of generalized relaxed cocoercive variational inequality problems and the convergence of iterative sequences generated by the algorithm. We also study the convergence and stability of a new perturbed iterative algorithm for approximating the solution.