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20192025
most citedOn Subdifferentials Via a Generalized Conjugation Scheme: An Application to DC Problems and Optimality Conditions

4 citations · 7 across the 5 of their papers we have counts for

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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.OC20254 cited

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.OC20252 cited

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…

math.OC20251 cited

Set-valued evenly convex functions: characterizations and c-conjugacy

M. D. Fajardo

In this work we deal with set-valued functions with values in the power set of a separated locally convex space where a nontrivial pointed convex cone induces a partial order relat…

math.OC2019

New Duality Results for Evenly Convex Optimization Problems

Maria Dolores Fajardo, Sorin-Mihai Grad, Jose Vidal

We present new results on optimization problems where the involved functions are evenly convex. By means of a generalized conjugation scheme and the perturbation theory introduced…