On Connectedness of Efficient Solution Sets for a Star Cone-Quasiconvex Vector Optimization Problem
Tóm tắt
In this note, we prove that the efficient solution set for a vector optimization problem with a continuous, star cone-quasiconvex objective mapping is connected under the assumption that the ordering cone is a D-cone. A D-cone includes any closed convex pointed cones in a normed space which admits strictly positive continuous linear functionals.
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