TY - JOUR
T1 - An existence result for quasi-equilibrium problems
AU - Aussel, D.
AU - Cotrina, J.
AU - Iusem, A. N.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - Recently, it has been showed in Castellani-Giuli [13], that the proof of the existence result for quasimonotone Stampacchia variational inequalities developed in Aussel-Hadjisavvas [6] can be adapted to the case of equilibrium problems. This proof was based on KKM techniques. In this paper we define and study the so-called quasi-equilibrium problem, that is an equilibrium problem with a constraint set depending on the current point. Our main contribution consists of an existence result combining fixed point techniques with stability analysis of perturbed equilibrium problems.
AB - Recently, it has been showed in Castellani-Giuli [13], that the proof of the existence result for quasimonotone Stampacchia variational inequalities developed in Aussel-Hadjisavvas [6] can be adapted to the case of equilibrium problems. This proof was based on KKM techniques. In this paper we define and study the so-called quasi-equilibrium problem, that is an equilibrium problem with a constraint set depending on the current point. Our main contribution consists of an existence result combining fixed point techniques with stability analysis of perturbed equilibrium problems.
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M3 - Article in a journal
SN - 0944-6532
VL - 24
SP - 55
EP - 66
JO - Journal of Convex Analysis
JF - Journal of Convex Analysis
IS - 1
ER -