7 citations · 14 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
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…
Lagrange duality on DC evenly convex optimization problems via a generalized conjugation scheme
M. D. Fajardo, J. Vidal-Nunez
In this paper we study how Lagrange duality is connected to optimization problems whose objective function is the difference of two convex functions, briefly called DC problems. We…
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…