Connectedness of efficient solution sets for set-valued maps in normed spaces (Q1337208)

A new interesting step is reported to find out conditions for vector optimization problems such that the connectedness of efficient sets follows. Here, the density theorem of Arrow-Barankin and Blackwell [look at Contribution to the Theory of Games, H. W. Kuhn, A. W. Tucker (eds.), Princeton University Press, 87-92 (1953; Zbl 0041.25302)] has been generalized so that it could be applied to vector optimization problems with point-to-set functions \(f: A\to Y\), where \(A\) is a set in a Hausdorff space \(X\) and \(Y\) is a real normed space.