Vector Equilibrium Problems on Dense Sets

Szilárd László ()
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Szilárd László: Technical University of Cluj-Napoca

Journal of Optimization Theory and Applications, 2016, vol. 170, issue 2, No 6, 437-457

Abstract: 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.

Keywords: Self-segment-dense set; Vector equilibrium problem; Vector optimization; Vector variational inequality; 47H04; 47H05; 26B25; 26E25; 90C33 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10957-016-0915-0

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