Article ID Journal Published Year Pages File Type
841952 Nonlinear Analysis: Theory, Methods & Applications 2010 14 Pages PDF
Abstract

We develop a variant of Korpelevich’s method for solving variational inequality problems with pseudomonotone operators in Banach spaces. We establish the strong convergence of the sequence generated by the method under reasonable assumptions on the problem data. Finally, we justify the motivation of our theory by including compelling examples of infinite dimensional variational inequality problems for which our method is applicable.

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Physical Sciences and Engineering Engineering Engineering (General)
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