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Acta Mathematica Vietnamica

TIKHONOV REGULARIZATION ALGORITHM FOR PSEUDOMONOTONE VARIATIONAL INEQUALITIES

icon-email NGUYEN THANH HAO

Abstract

We establish a convergence theorem for the Tikhonov regularization algorithm applied to finite-dimensional pseudomonotone variational inequalities. Thus the open question stated by Facchinei and Pang in [1, p. 1129] is answered in affirmative. Several examples are given to analyze the obtained results.