Hahn-Banach theorem of set-valued map

DOI10.1007/BF02458981zbMath0941.46004OpenAlexW2323221794MaRDI QIDQ1266145

Zhiqing Meng

Publication date: 7 August 2000

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02458981

zbMATH Keywords

generalized Hahn-Banach theorempartially ordered locally convex topological vector space\(K\)-convex multifunction\(K\)-sublinear multifunction

Mathematics Subject Classification ID

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

Related Items (5)

About Hahn-Banach extension theorems and applications to set-valued optimization ⋮ On the generalized Fritz John optimality conditions of vector optimization with set-valued maps under Benson proper efficiency ⋮ The extension of continuity and generalized results for set-valued maps in convex analysis ⋮ A new extension theorem for concave operators ⋮ The extension theorems of cone linear operators

Cites Work

• Theory of multiobjective optimization
• Major-efficient solutions and weakly major-efficient solutions of multiobjective programming
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