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| Paper IPM / M / 18402 |
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In this paper, first a generalization of the Weierstrass theorem for set-valued mappings in the absence of usual continuity and compactness assumptions is derived.
Then, new notions of well-posedness for set-valued optimization problems are presented and some necessary and sufficient conditions for well-posedness of these problems are obtained. Finally, as an application, we provide some results for a robust
set-valued optimization problem.
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