Second Order Symmetric Duality in Fractional Variational Problems Over Cone Constraints

Anurag Jayswal, Shalini Jha

In the present paper, we introduce a pair of second order fractional sym- metric variational programs over cone constraints and derive weak, strong, and converse duality theorems under second order $\mathcal$-convexity assumptions. Moreover, self duality theorem is also discussed. Our results give natural unification and extension of some previously known results in the literature.