Work

Vector Optimization with Variable Domination Structure: A Unifying Approach

Year: 2025

Type: article

Abstract: We revisit two types of constrained vector optimization problems driven by set-valued maps, where the domination structure is defined by a cone-valued map. Within the framework of variable domination structures, we demonstrate that the approaches used in the literature cover each other. This observation enables us to design unified methods for deriving necessary optimality conditions in both cases. Our results rely on key concepts such as the Extremal Principle and the inherent incompatibility between openness and efficiency, encompassing several well-known assertions in this area of research.

Source: Set-Valued and Variational Analysis

DOI: 10.1007/s11228-025-00746-6

Authors: Marius Durea, Radu Strugariu, Christiane Tammer

Institutions: Alexandru Ioan Cuza University, Romanian Academy, Gheorghe Asachi Technical University of Iași, Martin Luther University Halle-Wittenberg

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: $2,990

Funder: Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii