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PreprintarXiv licencearXiv

Pareto optimality under nondegeneracy at infinity

  • Liguo Jiao
  • Jae Hyoung Lee
  • Tien-Son Pham
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Abstract

In this paper, we consider a broad class of multiobjective optimization problems, which are defined in a simple and elegant manner by using only two basic notions of Newton polyhedra and nondegeneracy at infinity associated with given data. For each problem in the class, its several basic properties are studied; in particular, necessary and sufficient conditions for the existence of (weakly/properly) efficient solutions as well as the Hölder-type global weak sharp minima are established.

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Cite

BibTeXRIS
BibTeX
@misc{jiao2026pareto,
  title = {{Pareto optimality under nondegeneracy at infinity}},
  author = {Liguo Jiao and Jae Hyoung Lee and Tien-Son Pham},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.24983},
  eprint = {2610.24983},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.24983},
}
RIS
TY  - UNPB
TI  - Pareto optimality under nondegeneracy at infinity
AU  - Liguo Jiao
AU  - Jae Hyoung Lee
AU  - Tien-Son Pham
PY  - 2026
DA  - 2026/10/18
PB  - arXiv
DO  - 10.48550/arxiv.2610.24983
UR  - https://arxiv.org/abs/2610.24983
AB  - In this paper, we consider a broad class of multiobjective optimization problems, which are defined in a simple and elegant manner by using only two basic notions of Newton polyhedra and nondegeneracy at infinity associated with given data. For each problem in the class, its several basic properties are studied; in particular, necessary and sufficient conditions for the existence of (weakly/properly) efficient solutions as well as the Hölder-type global weak sharp minima are established.
ER  -