New parametric optimality conditions for semiinfinite discrete minmax fractional programming problems

Abstract

Applying the new notion of the generalized (f, ?, ?, ?, ?, m)-invexity, a set of higher order parametric necessary optimality conditions and several sets of higher order sufficient optimality conditions in a semiinfinite-framework for discrete minmax fractional programming problem applying various classes of (f, ?, ?, ?, ?, m)-invexity assumptions are established. To the best of our knowledge, the obtained results are new, especially on the semiinfinite aspect for the discrete minmax fractional programming problems.