The revisit of a projection algorithm with variable steps for variational inequalities

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April 2005, 1(2): 211-217. doi: 10.3934/jimo.2005.1.211

The revisit of a projection algorithm with variable steps for variational inequalities

1.	School of Mathematics and LPMC, Nankai University, Tianjin 300071, P.R., China

Received August 2004 Revised January 2005 Published April 2005

Abstract
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The projection-type methods are a class of important methods for solving variational inequalities(VI). This paper presents a new treatment to a classical projection algorithm with variable steps, which was first proposed by Auslender in 1970s and later was developed by Fukushima in 1980s. The main purpose of this work is to weaken the assumption conditions while the convergence of original method is still valid.

Keywords: variational inequality, convergence., weakly co-coercive, projection algorithm.

Mathematics Subject Classification: 90C30, 90C33, 65K0.

Citation: Qingzhi Yang. The revisit of a projection algorithm with variable steps for variational inequalities. Journal of Industrial & Management Optimization, 2005, 1 (2) : 211-217. doi: 10.3934/jimo.2005.1.211

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