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AbstractAny local maximizer of an explicitly quasiconvex real-valued function is actually a global minimizer, if it belongs to the intrinsic core of the function's domain. In this paper we show that similar properties hold for componentwise explicitly quasiconvex vector-valued functions, with respect to the concepts of ideal, strong and weak optimality. We illustrate these results in the particular framework of linear fractional multicriteria optimization problems.
CitationBagdasar, O. and Popovici, N. (2017) 'Local maximizers of generalized convex vector-valued functions., Journal of Nonlinear and Convex Analysis, 18(12), pp. 2229-2250.
JournalJournal of Nonlinear and Convex Analysis
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