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.

Anexos:

• iusauc.pdf