MINIMAX FRACTIONAL VARIATIONAL PROBLEMS WITH GENERALIZED (F， ρ、θ )-CONVEXITY

Abstract

We restate the necessary optimality conditions of Bector et al. [1] and prove nonparametric sufficient optimality conditions for a minimax fractional variational problem involving generalized (F,ρ,θ)-convex functions. Subsequently,we use these optimality conditions to consider three Zalmai-type duality models [34] and establish weak , strong , and strict converse duality theorems using generalized ( F,ρ,θ)-convex functions.