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An extragradient method for solving variational inequalities without monotonicity

Lei Ming (13679066158***at***163.com)
He Yiran (yrhe***at***sicnu.edu.cn)

Abstract: A new extragradient projection method is devised in this paper, which does not obviously require generalized monotonicity and assumes only that the so-called dual variational inequality has a solution in order to ensure its global convergence. In particular, it applies to quasimonotone variational inequality having a nontrivial solution.

Keywords: Variational inequality, projection method, quasimonotone, extragradient method, global convergence.

Category 1: Complementarity and Variational Inequalities


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Entry Submitted: 01/29/2019
Entry Accepted: 02/01/2019
Entry Last Modified: 03/30/2019

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