English

Extremality of families of sets and set-valued optimization

Optimization and Control 2025-06-23 v4

Abstract

The paper explores a new extremality model involving collections of arbitrary families of sets. We demonstrate its applicability to set-valued optimization problems with general preferences, weakening the assumptions of the known results and streamlining their proofs.

Keywords

Cite

@article{arxiv.2407.20473,
  title  = {Extremality of families of sets and set-valued optimization},
  author = {Nguyen Duy Cuong and Alexander Y. Kruger and Nguyen Hieu Thao},
  journal= {arXiv preprint arXiv:2407.20473},
  year   = {2025}
}

Comments

16 pages. Formerly appeared as part of arXiv:2403.16511v2