Abstract
We will prove that, in the case where all the domination cones are closed and convex, have a nonempty interior, and are totally ordered with respect to inclusion, the set of weakly nondominated outcomes of a nonempty convex compact setY \( \subseteq\) R n is connected. Further, we give a relationship between weakly nondominated and nondominated solutions.
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Communicated by P. L. Yu
The author would like to thank the referees for their valuable comments.
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Nieuwenhuis, J.W. Some results about nondominated solutions. J Optim Theory Appl 36, 289–301 (1982). https://doi.org/10.1007/BF00933835
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DOI: https://doi.org/10.1007/BF00933835