Nondifferentiable higher order symmetric duality under invexity/generalized invexity

Abstract

In this paper, we introduce a pair of nondifferentiable higher-order symmetric dual models.
Weak, strong and converse duality theorems for this pair are established under the assumption of higherorder
invexity/generalized invexity. A self duality theorem is also obtained by considering the function
involved to be skew-symmetric. Several known results are obtained as special cases.