Marco A. López
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View article: Strong duality in infinite convex optimization
Strong duality in infinite convex optimization Open
We develop a methodology for closing duality gap and guaranteeing strong duality in infinite convex optimization. Specifically, we examine two new Lagrangian-type dual formulations involving infinitely many dual variables and infinite sums…
View article: EM Characterization of a Compact RFQ Cold Model Prototype Employing a New Power Injection Scheme
EM Characterization of a Compact RFQ Cold Model Prototype Employing a New Power Injection Scheme Open
The experimental and computational characterization of a cold model prototype designed to test the electromagnetic properties of a new RFQ (Radio Frequency Quadrupole) cavity is reported. This cavity is intended to be an essential part of …
View article: Convex regularization and subdifferential calculus
Convex regularization and subdifferential calculus Open
This paper deals with the regularization of the sum of functions defined on a locally convex spaces through their closed-convex hulls in the bidual space. Different conditions guaranteeing that the closed-convex hull of the sum is the sum …
View article: Optimality conditions and subdifferential calculus for infinite sums of functions
Optimality conditions and subdifferential calculus for infinite sums of functions Open
The paper extends the widely used in optimisation theory decoupling techniques to infinite collections of functions. Extended concepts of uniform lower semicontinuity and firm uniform lower semicontinuity are discussed. The main theorems g…
View article: Obituary for Georg J. Still (13 November 1951–15 December 2023)
Obituary for Georg J. Still (13 November 1951–15 December 2023) Open
View article: Conjugation-Based Approach to the $\varepsilon $-Subdifferential of Convex Suprema
Conjugation-Based Approach to the $\varepsilon $-Subdifferential of Convex Suprema Open
View article: Optimality conditions in DC constrained mathematical programming problems
Optimality conditions in DC constrained mathematical programming problems Open
This paper provides necessary and sufficient optimality conditions for abstract constrained mathematical programming problems in locally convex spaces under new qualification conditions. Our approach exploits the geometrical properties of …
View article: Correction to: Lipschitz modulus of linear and convex inequality systems with the Hausdorff metric
Correction to: Lipschitz modulus of linear and convex inequality systems with the Hausdorff metric Open
View article: Optimization, Convex and Variational Analysis – Volume II
Optimization, Convex and Variational Analysis – Volume II Open
View article: New Tour on the Subdifferential of Supremum via Finite Sums and Suprema
New Tour on the Subdifferential of Supremum via Finite Sums and Suprema Open
View article: Preface to “Optimization, Convex and Variational Analysis”
Preface to “Optimization, Convex and Variational Analysis” Open
View article: Relaxed Lagrangian duality in convex infinite optimization: reverse strong duality and optimality
Relaxed Lagrangian duality in convex infinite optimization: reverse strong duality and optimality Open
We associate with each convex optimization problem posed on some locally convex space with an infinite index set T, and a given non-empty family H formed by finite subsets of T, a suitable Lagrangian-Haar dual problem. We provide reverse H…
View article: Relaxed Lagrangian duality in convex infinite optimization: reverse\n strong duality and optimality
Relaxed Lagrangian duality in convex infinite optimization: reverse\n strong duality and optimality Open
We associate with each convex optimization problem posed on some locally\nconvex space with an infinite index set T, and a given non-empty family H\nformed by finite subsets of T, a suitable Lagrangian-Haar dual problem. We\nprovide revers…
View article: Relaxed Lagrangian duality in convex infinite optimization: reducibility and strong duality
Relaxed Lagrangian duality in convex infinite optimization: reducibility and strong duality Open
We associate with each convex optimization problem, posed on some locally convex space, with infinitely many constraints indexed by the set T, and a given non-empty family H of finite subsets of T, a suitable Lagrangian-Haar dual problem. …
View article: Alternative Representations of the Normal Cone to the Domain of Supremum Functions and Subdifferential Calculus
Alternative Representations of the Normal Cone to the Domain of Supremum Functions and Subdifferential Calculus Open
View article: Alternative representations of the normal cone to the domain of supremum functions and subdifferential calculus
Alternative representations of the normal cone to the domain of supremum functions and subdifferential calculus Open
The first part of the paper provides new characterizations of the normal cone to the effective domain of the supremum of an arbitrary family of convex functions. These results are applied in the second part to give new formulas for the sub…
View article: Subdifferential of the supremum function: moving back and forth between continuous and non-continuous settings
Subdifferential of the supremum function: moving back and forth between continuous and non-continuous settings Open
View article: Subdifferential of the supremum function: Moving back and forth between\n continuous and non-continuous settings
Subdifferential of the supremum function: Moving back and forth between\n continuous and non-continuous settings Open
In this paper we develop general formulas for the subdifferential of the\npointwise supremum of convex functions, which cover and unify both the compact\ncontinuous and the non-compact non-continuous settings. From the non-continuous\nto t…
View article: Characterizations of Robust and Stable Duality for Linearly Perturbed Uncertain Optimization Problems
Characterizations of Robust and Stable Duality for Linearly Perturbed Uncertain Optimization Problems Open
View article: Subdifferentials and Stability Analysis of Feasible Set and Pareto Front Mappings in Linear Multiobjective Optimization
Subdifferentials and Stability Analysis of Feasible Set and Pareto Front Mappings in Linear Multiobjective Optimization Open
The paper concerns multiobjective linear optimization problems in R^n that are parameterized with respect to the right-hand side perturbations of inequality constraints. Our focus is on measuring the variation of the feasible set and the P…
View article: Lipschitz modulus of linear and convex systems with the Hausdorff metric
Lipschitz modulus of linear and convex systems with the Hausdorff metric Open
This paper analyzes the Lipschitz behavior of the feasible set in two parametric settings, associated with linear and convex systems in R^n. To start with, we deal with the parameter space of linear (finite/semi-infinite) systems identifie…
View article: Adaptation and Resilience of Roads to Extreme Hydrological Events
Adaptation and Resilience of Roads to Extreme Hydrological Events Open
Road infrastructure networks are exposed to multiple damages caused by the occurrence of floods, generally, associated to hydrometeorological extreme phenomena. This can be attributed to the lack of drainage efficiency in the current desig…
View article: Characterizations of robust and stable duality for linearly perturbed\n uncertain optimization problems
Characterizations of robust and stable duality for linearly perturbed\n uncertain optimization problems Open
We introduce a robust optimization model consisting in a family of\nperturbation functions giving rise to certain pairs of dual optimization\nproblems in which the dual variable depends on the uncertainty parameter. The\ninterest of our ap…
View article: Valadier-like formulas for the supremum function II: The compactly indexed case
Valadier-like formulas for the supremum function II: The compactly indexed case Open
We generalize and improve the original characterization given by Valadier [20, Theorem 1] of the subdifferential of the pointwise supremum of convex functions, involving the subdifferentials of the data functions at nearby points. We remov…
View article: Valadier-like formulas for the supremum function I
Valadier-like formulas for the supremum function I Open
We generalize and improve the original characterization given by Valadier [18, Theorem 1] of the subdifferential of the pointwise supremum of convex functions, involving the subdifferentials of the data functions at nearby points. We remov…
View article: Farkas-Type Results for Vector-Valued Functions with Applications
Farkas-Type Results for Vector-Valued Functions with Applications Open
View article: Comparación del efecto de la fibra: Sobre el índice glicémico y carga glicémica en distintos tipos de pan
Comparación del efecto de la fibra: Sobre el índice glicémico y carga glicémica en distintos tipos de pan Open
Existen diversos alimentos que contienen como nutriente principal hidratos de carbono, destacando entre ellos el pan por su masivo consumo a nivel mundial. Numerosos estudios se han llevado a cabo con el fin de reducir su indice glicemico,…
View article: Robust optimization revisited via robust vector Farkas lemmas
Robust optimization revisited via robust vector Farkas lemmas Open
This paper provides characterizations of the weakly minimal elements of vector optimization problems and the global minima of scalar optimization problems posed on locally convex spaces whose objective functions are deterministic while the…
View article: Characterizing weak solutions for vector optimization problems
Characterizing weak solutions for vector optimization problems Open
This paper provides characterizations of the weak solutions of optimization problems where a given vector function $F,$ from a decision space $X$ to an objective space $Y$, is "minimized" on the set of elements $x\in C$ (where $C\subset X$…
View article: Nuevos enfoques moleculares en la regulación de la adipogénesis. El papel de la Conexina 43
Nuevos enfoques moleculares en la regulación de la adipogénesis. El papel de la Conexina 43 Open
"La prevalencia de la obesidad a nivel mundial se ha incre - mentado rápidamente durante los últimos años debido prin - cipalmente a los cambios en el estilo de vida de la población con un aumento significativo en el consumo de energía y d…