Work

Sublinear scalarizations for proper and approximate proper efficient points in nonconvex vector optimization

Year: 2023

Type: article

Abstract: We show that under a separation property, a $${{{\mathcal {Q}}}}$$ Q -minimal point in a normed space is the minimum of a given sublinear function. This fact provides sufficient conditions, via scalarization, for nine types of proper efficient points; establishing a characterization in the particular case of Benson proper efficient points. We also obtain necessary and sufficient conditions in terms of scalarization for approximate Benson and Henig proper efficient points. The separation property we handle is a variation of another known property and our scalarization results do not require convexity or boundedness assumptions.

Source: Mathematical Methods of Operations Research

DOI: 10.1007/s00186-023-00818-z

Authors: Fernando García-Castaño, Miguel Ángel Melguizo-Padial, G. Parzanese

Institution: University of Alicante

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,890