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Stability of minimizers of set optimization problems

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We study the asymptotic behavior of sequences of minimization problems in set optimization. More precisely, considering a sequence of set optimization problems $$(P_n)$$(Pn) converging in some sense to a set optimization… Click to show full abstract

We study the asymptotic behavior of sequences of minimization problems in set optimization. More precisely, considering a sequence of set optimization problems $$(P_n)$$(Pn) converging in some sense to a set optimization problem (P) we investigate the upper and lower convergences of the sets of minimizers of the problems $$(P_n)$$(Pn) to the set of minimizers of the problem (P).

Keywords: optimization; minimizers set; optimization problems; set optimization; stability minimizers

Journal Title: Positivity
Year Published: 2017

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