Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Jiao, Liguo, Lee, Jae Hyoung, Pham, Tien-Son
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223020000