Journal of Inequalities and Applications
Volume 1 (1997), Issue 2, Pages 139-147

Embedding variational inequalities and their generalizations into a separation scheme

F. Giannessi

Department of Mathematics, University of Pisa, Via Buonarroti, 2, Pisa 56127, Italy

Received 2 August 1996

Copyright © 1997 F. Giannessi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


When the domain of a variational inequality is given as intersection of level sets of functionals, then it is useful to introduce a separation scheme. Starting from this it is possible to carry out, in a uniform way, several topics, as penalization, regularization, gap functions, duality.