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In this paper, we introduce duality for nonsmooth minimax fractional semi-infinite optimization problems in Asplund space by using some advanced tools of variational analysis and generalized differentiation. We propose a dual problem to the primal one; then weak, strong and converse-like duality relations are explored. In addition, some of these results are applied to multiobjective optimization problems.
Jiao et al. (Tue,) studied this question.