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A new class of projection and contraction methods for solving variational inequality problems

โœ Scribed by D. Han

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
667 KB
Volume
51
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

This paper presents a new class of projection and contraction methods for solving monotone variational inequality problems. The methods can be viewed as combinations of some existing projection and contraction methods and the method of shortest residuals, a special case of conjugate gradient methods for solving unconstrained nonlinear programming problems. Under mild assumptions, we show the global convergence of the methods. Some preliminary computational results are reported to show the efficiency of the methods.

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In this paper, we consider and analyze a new class of projection methods for solving pseudomonotone general variational inequalities using the Wiener-Hopf equations technique. The modified methods converge for pseudomonotone operators. Our proof of convergence is very simple as compared with other m