Abstract
The paper is to investigate vector equilibrium problems with equilibrium constraints in Hausdorff topological vector spaces ordered by cones. By using relaxation of semicontinuity and generalized convexity properties of vector-valued maps, sufficient conditions for upper semicontinuity of solution maps to the reference problems are established, and many counterexamples are also provided to illustrate the essentialness of these conditions. The approaches and results obtained in this paper are new even for the scalar problems
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