On Quasi-Equilibrium Problems with Trifunctions
Minimax theory and its applications, Tome 3 (2018) no. 1
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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.
Mots-clés : Quasi-equilibrium problem, hemivariational inequality problem, pseudomonotone mapping
@article{MTA_2018_3_1_a4,
     author = {D. Inoan,J. Kolumb\'an},
     title = {On {Quasi-Equilibrium} {Problems} with {Trifunctions}},
     journal = {Minimax theory and its applications},
     year = {2018},
     volume = {3},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/MTA_2018_3_1_a4/}
}
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D. Inoan,J. Kolumbán. On Quasi-Equilibrium Problems with Trifunctions. Minimax theory and its applications, Tome 3 (2018) no. 1. http://geodesic.mathdoc.fr/item/MTA_2018_3_1_a4/