Second-order multiobjective symmetric duality involving cone-bonvex functions

摘要

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-rj-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.