Geodesic
On localizing global Pareto solutions in a given convex set
Applicationes Mathematicae, Tome 26 (1999) no. 4, pp. 383-394

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/am-26-4-383-394
Keywords: sufficient and necessary conditions for optimality, Pareto optimal solutions, dual cones, feasible directions

Agnieszka Drwalewska 1 ; Lesław Gajek 1

1 
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Agnieszka Drwalewska; Lesław Gajek. On localizing global Pareto solutions in a given convex set. Applicationes Mathematicae, Tome 26 (1999) no. 4, pp. 383-394. doi: 10.4064/am-26-4-383-394

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