Existence and Lagrangian duality for maximizations of set-valued functions
Journal of Optimization Theory and Applications
Optimality conditions for maximizations of set-valued functions
Journal of Optimization Theory and Applications
Generalized monotone bifunctions and equilibrium problems
Journal of Optimization Theory and Applications
Simultaneous vector variational inequalities and vector implicit complementarity problem
Journal of Optimization Theory and Applications
Vector equilibrium problems with generalized monotone bifunctions
Journal of Optimization Theory and Applications
From scalar to vector equilibrium problems in the quasimonotone case
Journal of Optimization Theory and Applications
References on Vector Variational Inequalities
Journal of Global Optimization
Existence of Solutions for Abstract Economic Equilibrium Problems and Algorithm
Computers & Mathematics with Applications
Gap functions for a system of generalized vector quasi-equilibrium problems with set-valued mappings
Journal of Global Optimization
Existence of solutions for generalized equilibrium problem in G-convex space
Computers & Mathematics with Applications
Existence results for proper efficient solutions of vector equilibrium problems and applications
Journal of Global Optimization
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In this paper, we characterize the solutions of vector equilibrium problems as well as dual vector equilibrium problems. We establish also vector optimization problem formulations of set-valued maps for vector equilibrium problems and dual vector equilibrium problems, which include vector variational inequality problems and vector complementarity problems. The set-valued maps involved in our formulations depend on the data of the vector equilibrium problems, but not on their solution sets. We prove also that the solution sets of our vector optimization problems of set-valued maps contain or coincide with the solution sets of the vector equilibrium problems.