Abstract
In this paper, non-differentiable fractional program containing support function of a compact convex set is studied. A class of higher-order cone convex function is introduced which not necessarily lies in any of the existing classes. A non-trivial example of such type of functions is also introduced. Then Schaible dual is formulated for the above-said program for which weak and strong duality theorems are stated and proven using the newly defined function.
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