Any 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.Any 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