Communications in Mathematical Analysis
- Commun. Math. Anal.
- Volume 10, Number 2 (2011), 1-17.
Arcwise Connectedness of Efficient Sets
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  concerning compact convex sets and allows also for such sets to obtain a more general result.
Commun. Math. Anal., Volume 10, Number 2 (2011), 1-17.
First available in Project Euclid: 28 November 2011
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 90C29: Multi-objective and goal programming
Ginchev, Ivan. Arcwise Connectedness of Efficient Sets. Commun. Math. Anal. 10 (2011), no. 2, 1--17. https://projecteuclid.org/euclid.cma/1322489161