| Natalya Semenova, Mariia Lomaha, Victor Semenov Solvability Сonditions for the Vector Lexicographic Optimization Problems |
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| Abstract. Vector problems with the lexicographic principle of optimality are formulated and investigated. We have revealed conditions of existence of solutions of multi-criteria problems of lexicographic optimization with an unbounded feasible set on the basis of applying properties of a recession cone of a convex feasible set, the cone which puts in order a feasible set lexicographically with respect to optimization criteria. |
| Keywords: lexicographic optimization, vector criterion, existence of solutions, Pareto-optimal solutions |
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| DOI: https://doi.org/10.54381/pci2023.09 |
