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

0462818 - MÚ 2017 PL eng J - Článek v odborném periodiku
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
Klíčová slova: degree theory * maximal monotone operator * multivalued map
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.667, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0262201