Arcwise Connectedness of Efficient Sets

Ivan Ginchev

doi:cma/1322489161

2011 Arcwise Connectedness of Efficient Sets

Ivan Ginchev

Commun. Math. Anal. 10(2): 1-17 (2011).

Abstract

Let $E$ be a topological vector space and $C$ a pointed closed convex cone. For a set $Q$ in $E$ we prove arcwise connectedness of the efficient point set $Max(Q|C)$ between any two points of a closed set $M \subset Max(Q|C)$ with a compact closed convex hull and having certain additional property. An application to a class of non-convex in general sets is given. The method generalizes the one from [6] concerning compact convex sets and allows also for such sets to obtain a more general result.

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Ivan Ginchev "Arcwise Connectedness of Efficient Sets," Communications in Mathematical Analysis 10(2), 1-17, (2011). https://doi.org/

Published: 2011

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