Open Access

System of General Variational Inequalities Involving Different Nonlinear Operators Related to Fixed Point Problems and Its Applications

Fixed Point Theory and Applications20102011:689478

https://doi.org/10.1155/2011/689478

Received: 5 October 2010

Accepted: 9 December 2010

Published: 15 December 2010

Abstract

By using the projection methods, we suggest and analyze the iterative schemes for finding the approximation solvability of a system of general variational inequalities involving different nonlinear operators in the framework of Hilbert spaces. Moreover, such solutions are also fixed points of a Lipschitz mapping. Some interesting cases and examples of applying the main results are discussed and showed. The results presented in this paper are more general and include many previously known results as special cases.

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Authors’ Affiliations

(1)
Department of Mathematics and computer, Faculty of Science and Technology, Uttaradit Rajabhat University
(2)
Centre of Excellence in Mathematics, CHE
(3)
Department of Mathematics, Faculty of Science, Naresuan University

Copyright

© The Author(s). 2011

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.