Preprint A731/2013
Upper sign-continuity for equilibrium problems
Aussel, Didier | Cotrina, John
Keywords: Equilibrium problem | upper-sign continuity | quasiconvexity | variational inequality
Equilibrium problems have been extensively studied in recent years, and reformulations and existence results have been obtained whenever the involved bifunction is pseudomonotone. In this work, we concentrate in the quasimonotone case, and introduce a new concept of upper sign-continuity for bifunctions. Under these weak assumptions, we establish a new existence result for equilibrium problems.