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Acta Mathematica Vietnamica

A NEW EXTRAGRADIENT ITERATION ALGORITHM FOR BILEVEL VARIATIONAL INEQUALITIES

icon-email PHAM NGOC ANH

Abstract

In this paper, we introduce an approximation extragradient itera- tion method for solving bilevel variational inequalities involving two variational inequalities and we show that these problems can be solved by projection se- quences and fixed point techniques. We obtain a strong convergence of three iteration sequences generated by this method in a real Hilbert space.