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Vector Equilibrium Problems on Dense Sets

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  • Szilárd László

    (Technical University of Cluj-Napoca)

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 obtained results to vector optimization and vector variational inequalities.

Suggested Citation

  • Szilárd László, 2016. "Vector Equilibrium Problems on Dense Sets," Journal of Optimization Theory and Applications, Springer, vol. 170(2), pages 437-457, August.
    • Handle: RePEc:spr:joptap:v:170:y:2016:i:2:d:10.1007_s10957-016-0915-0
    DOI: 10.1007/s10957-016-0915-0
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    References listed on IDEAS

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