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Well-setness and scalarization in set optimization. (English) Zbl 1391.90546

Summary: In this paper, we consider a notion of global well-setness for a set optimization problem using the excess function. We give sufficient conditions for well-setness and establish Dontchev-Zolezzi type measure for well-setness. Moreover, we relate this notion with well-setness notion for a scalar problem obtained by using generalized Gerstewitz’s function.

MSC:

90C29 Multi-objective and goal programming
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