Closedness and Hadamard well-posedness of the solution map for parametric vector equilibrium problems

In this paper we introduced new definitions of vector topological pseudomonotonicity to study the parametric vector equilibrium problems. The main result gives sufficient conditions for closedness of the solution map defined on the set of parameters. The Hadamard well-posedness of parametric vector equilibrium problems is also analyzed by using the new definitions of vector topological pseudomonotonicity.