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In this paper, we establish a set of necessary optimality conditions and discuss a fairly large number of sets of global nonparametric sufficient optimality criteria under various generalized ( , )-invexity assumptions for a minmax fractional programming problem with infinitely many nonlinear inequality and equality constraints.Keywords Discrete minmax fractional programming; Generalized invex functions; Infinitely many equality and inequality constraints; Semi-infinite programming; Sufficient optimality conditions.

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