Abstract
In this paper, following the method in the proof of the composition duality principle due to Robinson and using some basic properties of the e-subdifferential and the conjugate function of a convex function, we establish duality results for an e-variational inequality problem. Then, we give Fenchel duality results for the e-optimal solution of an unconstrained convex optimization problem. Moreover, we present an example to illustrate our Fenchel duality results for the e-optimal solutions.
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