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Minimax Theory and its Applications 03 (2018), No. 1, 161--172
Copyright Heldermann Verlag 2018

On Quasi-Equilibrium Problems with Trifunctions

Daniela Inoan
Dept. of Mathematics, Technical University, Str. G. Baritiu 25-38, 400027 Cluj-Napoca, Romania

Jozsef Kolumban
Dept. of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

We present an existence result for a quasi-equilibrium 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: Quasi-equilibrium problem, hemivariational inequality problem, pseudomonotone mapping.

MSC: 47J20

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