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This paper studies some properties associated with a closed convex cone $$\mathcal {K}_{1+}$$ K 1 + , which is defined as the epigraph of the $$l_1$$ l 1 norm function of the metric projection onto the nonnegative orthant. Specifically, this paper presents some properties on variational geometry of $$\mathcal {K}_{1+}$$ K 1 + such as the dual cone, the tangent cone,...
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