Open Access

Wiener-Hopf Equations Technique for General Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings

Journal of Inequalities and Applications20072007:064947

DOI: 10.1155/2007/64947

Received: 1 July 2007

Accepted: 3 October 2007

Published: 4 December 2007


We show that the general variational inequalities are equivalent to the general Wiener-Hopf equations and use this alterative equivalence to suggest and analyze a new iterative method for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the general variational inequality involving multivalued relaxed monotone operators. Our results improve and extend recent ones announced by many others.


Authors’ Affiliations

Department of Mathematics, Tianjin Polytechnic University
Department of Mathematics, Shijiazhuang University
Department of Mathematics, Gyeongsang National University


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© Yongfu Su et al. 2007

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.