... only if vHc exists with vHc ≥ 1 if and only if SHc/ ∅ with Hcp, x ≥ 1 for p, x ∈ SHc.2 In particular, if vHc exists with vHc ≥ 1, then for each x ∈ SHc|X,thereexistsy ... CorporationJournal of Inequalities and ApplicationsVolume 2010, Article ID 543061, 17 pagesdoi:10.1155/2010/543061 Research Article Solvability Criteria for Some Set-ValuedInequality SystemsYingfan LiuDepartment ... 4.25 for c ∈ Rmand x ∈ X,thenvHc,x exists with vHc,x ≥1, SHc,x is nonempty with Hc,xp, u, v ≥ 1 for p, u, v ∈ SHc,x, andinfp∈Σm−1Hc,xp, u, v vHc,x for...