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
1 Citations

References

SHOWING 1-10 OF 26 REFERENCES
Algebraic Core and Convex Calculus without Topology
  • 1
  • PDF
Quasi-relative interiors for graphs of convex set-valued mappings
  • 4
  • PDF
Extremality of convex sets with some applications
  • 11
  • PDF
Geometric approach to convex subdifferential calculus
  • 14
Convex Analysis and Monotone Operator Theory in Hilbert Spaces
  • 2,910
  • PDF
Set-valued Optimization - An Introduction with Applications
  • 225
An Easy Path to Convex Analysis and Applications
  • 67
  • PDF
Variational Geometric Approach to Generalized Differential and Conjugate Calculi in Convex Analysis
  • 16
  • PDF
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