Wiener-Hopf Equations Technique for General Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings. (4th December 2007)

• Record Type: Journal Article
• Authors: Su, Yongfu; Shang, Meijuan; Qin, Xiaolong
• Other Names: Reich Simeon Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2007(2007)
• Publication Date: 2007-12-04
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2007/64947
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : We show that the general variational inequalities are equivalent to the general Wiener-Hopf equations and use this alterative equivalence to suggest and analyze a new iterative method for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the general variational inequality involving multivalued relaxed monotone operators. Our results improve and extend recent ones announced by many others.