Geodesic
Constructing the set of effective vectors by the method of $\varepsilon$ perturbations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 5, pp. 824-845

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Multicriteria (vector) optimization is examined under assumptions that are conventional for the classical problem of constrained optimization. The method of $\varepsilon$ perturbations is used to construct a sequence of sets converging to a set that contains all the effective vectors and does not contain vectors distinct from weakly effective ones. 
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     title = {Constructing the set of effective vectors by the method of $\varepsilon$ perturbations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
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     number = {5},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_5_a5/}
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Ya. I. Rabinovich. Constructing the set of effective vectors by the method of $\varepsilon$ perturbations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 5, pp. 824-845. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_5_a5/