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.
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.
Abstract
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.
Springer
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