Vector Equilibrium Problems on Dense Sets

2015/01/31 by Szilard Laszlo, Laszlo, Szilard
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1502.00174

arXiv admin note: substantial text overlap with arXiv:1405.2327

arxiv created 2015/01/31 · arxiv updated 2015/02/03

Abstract

In this paper we provide sufficient conditions that ensure the existence of the solution of some vector equilibrium problems in Hausdorff topological vector spaces ordered by a cone. The conditions that we consider are imposed not on the whole domain of the operators involved, but rather on a self segment-dense subset of it, a special type of dense subset. We apply the results obtained to vector optimization and vector variational inequalities.

Citations

• Densely defined equilibrium problems

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