A degree theory for variational inequalities with sums of maximal monotone and (S+) operators

0462818 - MÚ 2017 PL eng J - Journal Article
Kim, I.-S. - Väth, Martin
A degree theory for variational inequalities with sums of maximal monotone and (S+) operators.
Topological Methods in Nonlinear Analysis. Roč. 47, č. 2 (2016), s. 405-422. ISSN 1230-3429. E-ISSN 1230-3429
Keywords : degree theory * maximal monotone operator * multivalued map
Subject RIV: BA - General Mathematics
Impact factor: 0.667, year: 2016
http://apcz.pl/czasopisma/index.php/TMNA/article/view/TMNA.2016.022

We develop a degree theory for variational inequalities which contain multivalued (S$_+$)-perturbations of maximal monotone operators. The multivalued operators need not necessarily be convex-valued. The result is simultaneously an extension of a degree theory for variational inequalities (developed by Benedetti, Obukhovskii and Zecca) and of the Skrypnik-Browder degree and extensions thereof.
Permanent Link: http://hdl.handle.net/11104/0262201