Search for: [Abstract = "In the paper, some problems of vector optimization are considered. Vector optimality is understood in the Pareto sense. Using the notion of Ponstein convexity, we formulate a \?scalarization\? theorem. Two examples \(vector optimization in R2 and an optimal\-control problem for a parabolic equation with a vector performance index\) are discussed. A Pareto boundary and a Salukwadze optimum are obtained for each of them. Additionally, for some vector optimization problems in R2, a criterion space is found. All calculations are performed with the use of Maple V. In the Appendix, a sketch of the proof of the main theorem on \?scalarization\? is given."]

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