Geodesic
Two characterizations of Pareto minima in convex multicriteria optimization
Applications of Mathematics, Tome 29 (1984) no. 5, pp. 342-349.

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Two conditions are given each of which is both necessary and sufficient for a point to be a global Pareto minimum. The first one is obtained by studying programs where each criterion appears as a single objective function, while the second one is given in terms of a "restricted Lagrangian". The conditions are compared with the familiar characterizations of properly efficient and weakly efficient points of Karlin and Geoffrion.
DOI : 10.21136/AM.1984.104104
Classification : 90C25, 90C31
Keywords: optimality conditions; properly efficient point; weakly efficient point; characterization of optimality; convex multicriteria optimization; global Pareto minimum; restricted Lagrangian 
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Zlobec, Sanjo. Two characterizations of Pareto minima in convex multicriteria optimization. Applications of Mathematics, Tome 29 (1984) no. 5, pp. 342-349. doi : 10.21136/AM.1984.104104. http://geodesic.mathdoc.fr/articles/10.21136/AM.1984.104104/

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