Generalized Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings

<p/> <p>We consider the solvability of generalized variational inequalities involving multivalued relaxed monotone operators and single-valued nonexpansive mappings in the framework of Hilbert spaces. We also study the convergence criteria of iterative methods under some mild conditions....

Full description

Bibliographic Details
Main Authors: Shang Meijuan, Qin Xiaolong
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2007/020457
Description
Summary:<p/> <p>We consider the solvability of generalized variational inequalities involving multivalued relaxed monotone operators and single-valued nonexpansive mappings in the framework of Hilbert spaces. We also study the convergence criteria of iterative methods under some mild conditions. Our results improve and extend the recent ones announced by many others.</p>
ISSN:1025-5834
1029-242X