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Corpus ID: 214713461

Extremal Systems of Convex Sets with Applications to Convex Calculus in Vector Spaces

@article{Cuong2020ExtremalSO,
title={Extremal Systems of Convex Sets with Applications to Convex Calculus in Vector Spaces},
author={D. Cuong and B. Mordukhovich and N. M. Nam},
journal={arXiv: Optimization and Control},
year={2020}
}

In this paper we introduce and study the concept of set extremality for systems of convex sets in vector spaces without topological structures. Characterizations of the extremal systems of sets are obtained in the form of the convex extremal principle, which is shown to be equivalent to convex separation under certain qualification conditions expressed via algebraic cores. The obtained results are applied via a variational geometric approach to deriving enhanced calculus rules for normals to… Expand