The extension of continuity and generalized results for set-valued maps in convex analysis

DOI10.1016/j.na.2009.01.226zbMath1222.46004OpenAlexW1988379110MaRDI QIDQ923978

Wei-Shih Du

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.226

zbMATH Keywords

multiplierordered vector spacesgeneralized Hahn-Banach theorem\(K\)-convex set-valued maps\(K\)-subgradientsgeneralized Lagrangegeneralized sandwich theorem

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Banach lattices (46B42) Ordered topological linear spaces, vector lattices (46A40) Ordered normed spaces (46B40)

Related Items (1)

On some extension theorems for set-valued mappings

Cites Work

• Existence theorems in vector optimization
• Hahn-Banach theorem of set-valued map
• A generalization of Hahn--Banach extension theorem
• Hahn-Banach theorems and subgradients of set-valued maps
• A generalization of the Hahn-Banach theorem
• Techniques of variational analysis
• Ordered linear spaces
• A hahn-banach theorem in ordered linear spaces and its applications
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