Second order symmetric duality in fractional variational problems over cone constraints

Abstract

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

Keywords

• variational problem
• second order F-convexity
• second order duality