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Zbl 1106.90076
Zhu, Jiang; Isac, George; Zhao, Dun
Pareto optimization in topological vector spaces. (English)
[J] J. Math. Anal. Appl. 301, No. 1, 22-31 (2005). ISSN 0022-247X

The principal aim of this paper is to show that in a general linear topological space, partially ordered by a (not necessarily pointed) pseudo-nuclear correct convex cone, every nonempty set satisfying certain mild assumptions possesses efficient points and, moreover, the domination property holds (i.e., every point in the set is dominated by some efficient point). Several related existence results are presented and a characterization of pseudo-nuclear cones is given in terms of normality.
[Nicolae Popovici (Cluj-Napoca)]

MSC 2000:: *90C48 Programming in abstract spaces
46A40 Ordered topological linear spaces
46N10 Appl. of functional analysis in optimization and math. programming

Keywords: efficient points; pseudo-nuclear cones; normal cones

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