Level sets regularization with application to optimization problems
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Moussa Barro
mousbarro@yahoo.fr
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Sado Traoré
traore.sado@yahoo.fr
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DOI:
https://doi.org/10.4067/S0719-06462020000100137Abstract
Given a coupling function \(c\) and a non empty subset of â„, we define a closure operator. We are interested in extended real-valued functions whose sub-level sets are closed for this operator. Since this class of functions is closed under pointwise suprema, we introduce a regularization for extended real-valued functions. By decomposition of the closure operator using polarity scheme, we recover the regularization by bi-conjugation. We apply our results to derive a strong duality for a minimization problem.
Keywords
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