Extremal properties of generalized convex vector-valued functions

نویسندگان

  • Ovidiu Bagdasar
  • Nicolae Popovici
چکیده

It is known that any local maximizer of an explicitly quasiconvex realvalued function is actually a global minimizer, whenever it belongs to the intrinsic core of the function’s domain. We show that a similar property holds for componentwise explicitly quasiconvex vector-valued functions, with respect to the optimality concepts of ideal, strong and weak efficiency. These new results are applied to systems of linear equations, modelled as vector optimization problems. ∗University of Derby, UK †UBB Cluj-Napoca

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تاریخ انتشار 2015