Open Access

Hybrid Steepest Descent Method with Variable Parameters for General Variational Inequalities

Journal of Inequalities and Applications20072007:019270

DOI: 10.1155/2007/19270

Received: 16 April 2007

Accepted: 2 August 2007

Published: 24 October 2007

Abstract

We study the strong convergence of a hybrid steepest descent method with variable parameters for the general variational inequality (GVI) https://static-content.springer.com/image/art%3A10.1155%2F2007%2F19270/MediaObjects/13660_2007_Article_1675_IEq1_HTML.gif . Consequently, as an application, we obtain some results concerning the constrained generalized pseudoinverse. Our results extend and improve the result of Yao and Noor (2007) and many others.

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Authors’ Affiliations

(1)
Department of Mathematics, Tianjin Polytechnic University

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Copyright

© Y. Yu and R. Chen 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.