Geodesic
On System of Vector Quasi-equilibrium Problems for Multivalued Mappings
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 3, p. 357

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In this paper, the notion of the vector quasiconcavity and lower vector continuity for multivalued mappings without using the algebraic structure are introduced. By applying these definitions and maximal element lemma, some existence theorems of the solution of the system of vector quasi-equilibrium problems for a family of multivalued mappings in the setting of topological order spaces are established. The results of this note improve and generalize the corresponding results in the literature, specially references \cite{AFS,BP,FZ,Fu,FW,AB1}.
Classification : 90C33 91B50
Keywords: topological sup-semilattice, system of vector quasi-equilibrium problems, lower $C$-continuous, multivalued mapping, $C_\bigtriangleup$-quasiconcave 
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A. P. Farajzadeh; A. Shafie. On System of Vector Quasi-equilibrium Problems for Multivalued Mappings. Kragujevac Journal of Mathematics, Tome 42 (2018) no. 3, p. 357 . http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a3/