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

Zhiguo Wang1 and Changqun Wu2

 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

Recommended by Ram U. Verma

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.