Algebraic core and convex calculus without topology

In this paper we study the concept of algebraic core for convex sets in general vector spaces without any topological structure and then present its applications to problems of convex analysis and optimization. Deriving the equivalence between the Hahn-Banach theorem and and a simple version of the...

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Bibliographic Details
Published in:	Optimization Vol. 71; no. 2; pp. 309 - 335
Main Authors:	Van Cuong, Dang, Mordukhovich, Boris S., Mau Nam, Nguyen, Cartmell, Addison
Format:	Journal Article
Language:	English
Published:	Philadelphia Taylor & Francis 01.02.2022 Taylor & Francis LLC
Subjects:	Algebra Algebraic core coderivatives Computational geometry Convex analysis convex separation Convexity Differential calculus Differential geometry Mathematical analysis Mathematical functions normals Optimization subgradients Theorems Topology Vector spaces
ISSN:	0233-1934, 1029-4945
Online Access:	Get full text
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