Existence of Pareto-optimal solutions to the vector optimization problem with an unbounded feasible set

Authors

  • T. I. Sergienko

DOI:

https://doi.org/10.15407/dopovidi2015.10.027

Keywords:

Pareto-optimal solutions, unbounded feasible set, vector optimization problem

Abstract

The sufficient condition of existence of Pareto-optimal solutions to the vector optimization problem with partial linear optimization criteria and unbounded convex closed set of feasible solutions is proved. This condition is imposed on the intersection of the recessive cone of a feasible set and a cone which partially orders this set.

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References

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Published

08.02.2025

How to Cite

Sergienko, T. I. (2025). Existence of Pareto-optimal solutions to the vector optimization problem with an unbounded feasible set . Reports of the National Academy of Sciences of Ukraine, (10), 27–31. https://doi.org/10.15407/dopovidi2015.10.027

Issue

Section

Information Science and Cybernetics