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

TitleExistence of Pareto-optimal solutions to the vector optimization problem with an unbounded feasible set
Publication TypeJournal Article
Year of Publication2015
AuthorsSergienko, TI
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2015.10.027
Issue10
SectionInformation Science and Cybernetics
Pagination27-31
Date Published10/2015
LanguageUkrainian
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.
KeywordsPareto-optimal solutions, unbounded feasible set, vector optimization problem
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