In this paper we clarify that the interior proximal method developed in [6] (vol. 27 of this journal) for solving variational inequalities with monotone operators converges under essentially weaker conditions concerning the functions describing the "feasible" set as well as the operator of the variational inequality.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1111,
author = {Alexander Kaplan and Rainer Tichatschke},
title = {Note on the paper: interior proximal method for variational inequalities on non-polyhedral sets},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {30},
year = {2010},
pages = {51-59},
zbl = {1214.47063},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1111}
}
Alexander Kaplan; Rainer Tichatschke. Note on the paper: interior proximal method for variational inequalities on non-polyhedral sets. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 30 (2010) pp. 51-59. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1111/
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