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On the Structure of the Weakly Efficient Set for Quasiconvex Vector Minimization

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We investigate conditions under which the weakly efficient set for minimization of m objective functions on a closed and convex $$X\subset \mathbb R^d$$ X ⊂ R d ( $$m>d$$ m… Click to show full abstract

We investigate conditions under which the weakly efficient set for minimization of m objective functions on a closed and convex $$X\subset \mathbb R^d$$ X ⊂ R d ( $$m>d$$ m > d ) is fully determined by the weakly efficient sets for all n -objective subsets for some $$n

Keywords: efficient set; set quasiconvex; weakly efficient; minimization; quasiconvex vector; structure weakly

Journal Title: Journal of Optimization Theory and Applications
Year Published: 2020

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