Open Access

A System of Nonlinear Variational Inclusions with -Monotone Mappings

Journal of Inequalities and Applications20082008:681734

https://doi.org/10.1155/2008/681734

Received: 10 January 2007

Accepted: 17 December 2007

Published: 2 January 2008

Abstract

A new system of nonlinear variational inclusions involving -monotone mappings in the framework of Hilbert space is introduced and then based on the generalized resolvent operator technique associated with -monotonicity, the approximation solvability of solutions using an iterative algorithm is investigated. Since -monotonicity generalizes -monotonicity and -monotonicity, our results improve and extend the recent ones announced by many others.

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Authors’ Affiliations

(1)
School of Mathematics and Information Sciences, Henan University
(2)
School of Business and Administration, Henan University

Copyright

© Z. Wang and C. Wu. 2008

This article is published under license to BioMed Central Ltd. 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.