An extragradient algorithm for solving bilevel pseudomonotone variational inequalities

Authors: Kim Jong Kyu, Phạm Ngọc Anh, Lê Dũng Mưu,

https://doi.org/10.1007/s10898-012-9870-y

Publisher, magazine: ,

Publication year: 2012

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Abstract

We present an extragradient-type algorithm for solving bilevel pseudomonone variational inequalities. The proposed algorithm uses simple projection sequences. Under mild conditions, the convergence of the iteration sequences generated by the algorithm is obtained.

Tags: Bilevel variational inequality, Pseudomonotonicity, Lipschitz continuity, Global convergence, Extragradient algorithm.