A generalization of the Shapley-Folkman-Starr Theorem
Gangsong Leng, Rigao He · Scientia Sinica Mathematica · 2012
In this paper, we first introduce a new concept, p-sum of two vectors for nonempty, compact subsets in Rd, which coincides with the usual vector addition in the case p = 1. Then we give some properties of the p-sum. Furthermore, we establish the p-type Shapley-Folkman-Starr Theorem.