A method of scalarization of Bacopoulos und Singer in vectorial optimization
Acta Universitatis Lodziensis. Folia Mathematica, Tome 01 (1984)
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This work includes a generalization of Bacopoulos’s and Singer’s theorem refering to the scalarization of a vectorial programming for a pair of convex functions defined on a vector space. It has been proved that Bacopoulos’s and Singer’s method of scalarization can also be applied in the case when the first function is linearly upper semi-continuous and the second is strictly quasi-convex. The relation between the local and global solutions of the problem of a vectorial programming and the behaviour of the set of minimal elements under their passing to the limit of the sequence of pairs of functions have also been studied. Remove selected
@article{AULFM_1984_01_a6,
author = {Rzepecka, Genowefa},
title = {A method of scalarization of {Bacopoulos} und {Singer} in vectorial optimization},
journal = {Acta Universitatis Lodziensis. Folia Mathematica},
year = {1984},
volume = {01},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AULFM_1984_01_a6/}
}
Rzepecka, Genowefa. A method of scalarization of Bacopoulos und Singer in vectorial optimization. Acta Universitatis Lodziensis. Folia Mathematica, Tome 01 (1984). http://geodesic.mathdoc.fr/item/AULFM_1984_01_a6/