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Hahn-Banach theorem of set-valued map. (English) Zbl 0941.46004

Summary: We prove a generalized Hahn-Banach theorem by using the concept of efficiency for \(K\)-convex multifunctions and \(K\)-sublinear multifunctions in partially ordered locally convex topological vector space.

MSC:

46A22 Theorems of Hahn-Banach type; extension and lifting of functionals and operators
46A40 Ordered topological linear spaces, vector lattices
47H04 Set-valued operators
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