On localizing global Pareto solutions in a given convex set

• Autorzy: Agnieszka Drwalewska , Lesław Gajek
• Języki publikacji: EN

Abstrakty

EN

Sufficient conditions are given for the global Pareto solution of the multicriterial optimization problem to be in a given convex subset of the domain. In the case of maximizing real valued-functions, the conditions are sufficient and necessary without any convexity type assumptions imposed on the function. In the case of linearly scalarized vector-valued functions the conditions are sufficient and necessary provided that both the function is concave and the scalarization is increasing with respect to the cone generating the preference relation.

Słowa kluczowe

EN

sufficient and necessary conditions for optimality; Pareto optimal solutions; dual cones; feasible directions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1999
• Tom: 26
• Numer: 4
• Strony: 383-394

Daty

wydano

1999

otrzymano

1998-06-19

poprawiono

1999-05-31

Twórcy

autor

Agnieszka Drwalewska

• Institute of Mathematics, Technical University of Łódź, Al. Politechniki 11, 90-924 Łódź, Poland

autor

Lesław Gajek

• Institute of Mathematics, Technical University of Łódź, Al. Politechniki 11, 90-924 Łódź, Poland

Bibliografia

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• [5] L. Gajek and D. Zagrodny, Weierstrass theorem for monotonically semicontinuous functions, ibid. 29 (1994), 199-203.
• [6] B. Pshenichnyĭ, Necessary Conditions for an Extremum, Nauka, Moscow, 1982 (in Russian).
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