Publications by the researcher in collaboration with MARCO ANTONIO LOPEZ CERDA (23)

2024

  1. Alternative KKT conditions for (semi)infinite convex optimization

    Optimization, Vol. 73, Núm. 10, pp. 3087-3105

  2. Conjugation-Based Approach to the ε-Subdifferential of Convex Suprema

    Set-Valued and Variational Analysis, Vol. 32, Núm. 1

2023

  1. A New Tour on the Subdifferential of the Supremum Function

    Springer Proceedings in Mathematics and Statistics

  2. Fundamentals of Convex Analysis and Optimization A Supremum Function Approach

    Springer Series in Operations Research and Financial Engineering (Springer Nature), pp. 1-439

2022

  1. New Tour on the Subdifferential of Supremum via Finite Sums and Suprema

    Journal of Optimization Theory and Applications, Vol. 193, Núm. 1-3, pp. 81-106

2021

  1. Alternative Representations of the Normal Cone to the Domain of Supremum Functions and Subdifferential Calculus

    Set-Valued and Variational Analysis, Vol. 29, Núm. 3, pp. 683-699

  2. Optimization, Convex and Variational Analysis – Volume II

    Set-Valued and Variational Analysis

  3. Preface to “Optimization, Convex and Variational Analysis”

    Set-Valued and Variational Analysis

  4. Subdifferential of the supremum function: moving back and forth between continuous and non-continuous settings

    Mathematical Programming, Vol. 189, Núm. 1-2, pp. 217-247

2020

  1. Subdifferential of the Supremum via Compactification of the Index Set

    Vietnam Journal of Mathematics, Vol. 48, Núm. 3, pp. 569-588

2019

  1. Moreau-Rockafellar-type formulas for the subdifferential of the supremum function

    SIAM Journal on Optimization, Vol. 29, Núm. 2, pp. 1106-1130

  2. Valadier-like Formulas for the Supremum Function II: The compactly indexed case

    Journal of Convex Analysis, Vol. 26, Núm. 1, pp. 299-324

2018

  1. Valadier-like formulas for the supremum function I

    Journal of Convex Analysis, Vol. 25, Núm. 4

2016

  1. Towards supremum-sum subdifferential calculus free of qualification conditions

    SIAM Journal on Optimization, Vol. 26, Núm. 4, pp. 2219-2234

  2. Weaker conditions for subdifferential calculus of convex functions

    Journal of Functional Analysis, Vol. 271, Núm. 5, pp. 1177-1212

2010

  1. A note on the compactness of the index set in convex optimization. Application to metric regularity

    Optimization, Vol. 59, Núm. 4, pp. 477-483

2009

  1. Lipschitz modulus in convex semi-infinite optimization via d.c. functions

    ESAIM - Control, Optimisation and Calculus of Variations, Vol. 15, Núm. 4, pp. 763-781

2008

  1. A complete characterization of the sub differential set of the supremum of an arbitrary family of convex functions

    Journal of Convex Analysis, Vol. 15, Núm. 4, pp. 831-858

  2. Characterization of total ill-posedness in linear semi-infinite optimization

    Journal of Computational and Applied Mathematics, Vol. 217, Núm. 2, pp. 350-364

  3. Lipschitz behavior of convex semi-infinite optimization problems: A variational approach

    Journal of Global Optimization, Vol. 41, Núm. 1, pp. 1-13