On a Generalized System for Relaxed Cocoercive Variational Inequalities and Projection Methods
Q. Z. Yang
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Q. Z. Yang: Nankai University
Journal of Optimization Theory and Applications, 2006, vol. 130, issue 3, No 10, 547-549
Abstract:
Abstract Verma introduced a system of nonlinear variational inequalities and proposed projection methods to solve it. This system reduces to a variational inequality problem under certain conditions. So, at least in form, it can be regarded as a extension of a variational inequality problem. In this note, we show that solving this system coincides exactly with solving a variational inequality problem. Therefore, we conclude that it suffices to study the corresponding variational inequalities.
Keywords: Nonlinear variational inequalities; projection methods; convergence (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10957-006-9117-5
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