General System of A-Monotone Nonlinear Variational Inclusions Problems with Applications. (3rd November 2009)

• Record Type: Journal Article
• Authors: Peng, Jian-Wen; Zhao, Lai-Jun
• Other Names: Le Vy Khoi Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2009(2009)
• Publication Date: 2009-11-03
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2009/364615
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : We introduce and study a new system of nonlinear variational inclusions involving a combination ofA -Monotone operators and relaxed cocoercive mappings. By using the resolvent technique of theA -monotone operators, we prove the existence and uniqueness of solution and the convergence of a new multistep iterative algorithm for this system of variational inclusions. The results in this paper unify, extend, and improve some known results in literature.