Abstract
Conditions are obtained for the existence of a weak minimum for constrained vector optimization, with a less restrictive compactness hypothesis than usual. Conditions are also derived for the upper and lower semicontinuity of the multifunction describing weak minimum points. The results are applicable to semi-infinite vector optimization.
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Chen, G.Y., Craven, B.D. Existence and continuity of solutions for vector optimization. J Optim Theory Appl 81, 459–468 (1994). https://doi.org/10.1007/BF02193095
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DOI: https://doi.org/10.1007/BF02193095