Pareto optimality under nondegeneracy at infinity

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 H\"older-type global weak sharp minima are established.