
Minimax Theory and its Applications 03 (2018), No. 1, 161172 Copyright Heldermann Verlag 2018 On QuasiEquilibrium Problems with Trifunctions Daniela Inoan Dept. of Mathematics, Technical University, Str. G. Baritiu 2538, 400027 ClujNapoca, Romania daniela.inoan@math.utcluj.ro Jozsef Kolumban Dept. of Mathematics, BabesBolyai University, ClujNapoca, Romania We present an existence result for a quasiequilibrium problem formulated with trifunctions. For this, we define the dual problem, which is a generalization of the dual for equilibrium problems given by bifunctions. From the main result follows also the existence of solutions for a hemivariational inequality problem governed by operators of two variables. Keywords: Quasiequilibrium problem, hemivariational inequality problem, pseudomonotone mapping. MSC: 47J20 [ Fulltextpdf (110 KB)] for subscribers only. 