Vector Equilibrium Problems on Dense Sets
Functional Analysis
2015-02-03 v1
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.
Cite
@article{arxiv.1502.00174,
title = {Vector Equilibrium Problems on Dense Sets},
author = {Szilard Laszlo},
journal= {arXiv preprint arXiv:1502.00174},
year = {2015}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1405.2327