## Connectedness of efficient solution sets for set-valued maps in normed spaces.(English)Zbl 0845.90104

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.
Reviewer: A.Göpfert (Halle)

### MSC:

 90C29 Multi-objective and goal programming 90C48 Programming in abstract spaces 54C60 Set-valued maps in general topology

Zbl 0041.25302
Full Text:

### References:

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