Generalizations of the Hahn-Banach theorem revisited

DOI10.11650/tjm.19.2015.5046zbMath1357.46005OpenAlexW1816307553MaRDI QIDQ514929

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.19.2015.5046

zbMATH Keywords

Hahn-Banach theoremsandwich theoremMazur-Orlicz theoremFarkas lemmaHahn-Banach-Lagrange theorem

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (4)

Nonlinear programming via König's maximum theorem ⋮ A theorem of the alternative with an arbitrary number of inequalities and quadratic programming ⋮ Hahn-Banach-type theorems and applications to optimization for partially ordered vector space-valued invariant operators ⋮ Revisiting the Hahn-Banach theorem and nonlinear infinite programming

Cites Work

• Unnamed Item
• Hahn-Banach type theorems for hypolinear functionals
• Extension of linear forms with strict domination on locally compact cones.

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