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math.OC2025
A new insight into Lagrange duality on DC optimization
M. D. Fajardo, J. Vidal-Nunez
In this paper we present a new Lagrange dual problem associated to a primal DC optimization problem under the additivity condition (AC). As usual for DC programming, even weak dual…
math.OC2025
On Subdifferentials Via a Generalized Conjugation Scheme: An Application to DC Problems and Optimality Conditions
M. D. Fajardo, J. Vidal-Nunez
This paper studies properties of a subdifferential defined using a generalized conjugation scheme. We relate this subdifferential together with the domain of an appropriate conjuga…
math.OC2025
On Fenchel c-conjugate dual problems for DC optimization: characterizing weak, strong and stable strong duality
M. D. Fajardo, J. Vidal-Nunez
In this paper we present two Fenchel-type dual problems for a DC (difference of convex functions) optimization primal one. They have been built by means of the c-conjugation scheme…