Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4608080 | Journal of Approximation Theory | 2008 | 14 Pages |
Abstract
The aim of the present paper is to provide a formula for the ɛ-subdifferential of f+g∘h different from the ones which can be found in the existent literature. Further we equivalently characterize this formula by using a so-called closedness type regularity condition expressed by means of the epigraphs of the conjugates of the functions involved. Even more, using the ɛ-subdifferential formula we are able to derive necessary and sufficient conditions for the ɛ-optimal solutions of composed convex optimization problems.
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