Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 681734, 6 pages
doi:10.1155/2008/681734
Research Article
A System of Nonlinear Variational Inclusions with (A,η)-Monotone Mappings
1School of Mathematics and Information Sciences, Henan University, Kaifeng 475001, China
2School of Business and Administration, Henan University, Kaifeng 475001, China
Received 17 December 2007; Accepted 2 January 2008
Academic Editor: Ram U. Verma
Copyright © 2008 Zhiguo Wang and Changqun Wu. 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.
Abstract
A new system of nonlinear variational inclusions involving (A,η)-monotone mappings in the framework of Hilbert space is introduced and then based on the generalized resolvent operator technique associated with (A,η)-monotonicity, the approximation solvability of solutions using an iterative algorithm is investigated. Since (A,η)-monotonicity generalizes A-monotonicity and H-monotonicity, our results improve and extend the recent ones announced by many others.