151 citations
- University of WarwickGB4 papers
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math.OC2009★ 1 cited
Regularity conditions via generalized interiority notions in convex optimization: new achievements and their relation to some classical statements
Radu Ioan Bot, Erno Robert Csetnek
For the existence of strong duality in convex optimization regularity conditions play an indisputable role. We mainly deal in this paper with regularity conditions formulated by me…
math.OC2008★ 5 cited
Enlargements of positive sets
Radu Ioan Bot, Erno Robert Csetnek
In this paper we introduce the notion of enlargement of a positive set in SSD spaces. To a maximally positive set we associate a family of enlargements $\E(A)$ and characterize…
math.OC2007★ 65 cited
The Fermat-Torricelli problem in normed planes and spaces
Horst Martini, Konrad J Swanepoel, Gunter Weiss
We investigate the Fermat-Torricelli problem in d-dimensional real normed spaces or Minkowski spaces, mainly for d=2. Our approach is to study the Fermat-Torricelli locus in a geom…