Second‐order multiobjective symmetric duality involving cone‐bonvex functions

In this paper, a new pair of second‐order multiobjective symmetric dual programs over arbitrary cones is formulated and appropriate duality theorems are then established under K‐η‐bonvexity assumptions. We identify a function lying exclusively in the class of K‐η‐bonvex and not in class of invex function already existing in literature. Self duality is also obtained by assuming the functions involved to be skew‐symmetric.