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Fabián Flores Bazán

Full Professor

UNIVERSIDAD DE CONCEPCIÓN, DEPTO. INGENIERÍA MATEMÁTICA

Concepción, Chile

Líneas de Investigación


Nonconvex optimization: scalar & vector; Calculus of variations: asymptotic analysis; Nonconvex quadratic optimization; Nonsmooth analysis.

Educación

  •  Mathematics, PhD, Scuola Internazionale Superiore di Studi Avanzati. Italia, 1992
  •  Mathematics, MS, Scuola Internazionale Superiore di Studi Avanzati. Italia, 1990
  •  Mathematics, Universidad Nacional de Ingenieria. Peru, 1988
  •  Mathematics, Universidad Nacional de Ingenieria. Peru, 1987

Experiencia Académica

  •   Professor Full Time

    UNIVERSIDAD DE CONCEPCION

    Faculty of Physical and Mathematical Sciences

    Concepcion, Chile

    2000 - At present

  •   Associate Professor Full Time

    UNIVERSIDAD DE CONCEPCION

    Faculty of Physical and Mathematical Sciences

    Concepcion, Chile

    1994 - 1999

  •   Associate Professor Full Time

    Universidad Nacional de Ingenieria

    of Sciences

    Lima, Peru

    1992 - 1993

Experiencia Profesional

  •   Mathematics adviser committee Other

    CONICYT

    Santiago, Chile

    2006 - 2010

  •   Miembro Comite Editorial Other

    Journal of Optimization Theory and Applications (WoS)

    Springer, Estados Unidos

    2011 - At present

  •   Miembro Comite Editorial Other

    Optimization (WoS);

    Taylor and Francis Ltd, Reino Unido

    2006 - At present

  •   Miembro Comite Editorial Other

    TOP, An Official Journal of the Spanish Society of Statistics and Operations Research (WoS)

    Springer, Estados Unidos

    2017 - At present

  •   Miembro Comite Editorial Other

    Minimax Theory and Its Applications (WoS)

    Heldermann Verlag, Alemania

    2014 - At present

  •   Miembro Comite Editorial Full Time

    Communications in Optimization Theory

    Mathematical Research Press, Reino Unido

    2012 - At present

  •   Miembro Comite Editorial Other

    Journal of Nonlinear and Variational Analysis

    Biemdas Academic Publishers, Canada

    2016 - At present

Formación de Capital Humano


Theses awarding the degree in Mathematical Engineering (Universidad de Concepción).
1.``Algoritmos Numéricos para la Resolución del Problema del Regulador Lineal'', Lorena Muñoz. December 1995.
2.``Selecciones regulares para el subdiferencial de una función convexa y aplicaciones'', Victor Puchi. March 1997.
3.``Un resultado tipo Liapunov en Cálculo de Variaciones'', Verónica Briceño. May 1998.
4.``Eficiencia en Optimización multiobjetivo no convexa'', Felipe Ignacio Lara Obreque. October 2010.
5.``Dualidad Fuerte en Optimización No Convexa'', Gabriel Cárcamo Aravena. April 2012.
6.``Análisis asintótico de segundo orden para el problema de minimización'', Iván Andrés Montenegro Gómez. July 2014.
7. ``Convexidad de rango cuadrático en bajas dimensiones y aplicaciones en optimización cuadrática”, Felipe Andrés Opazo Lagos. December 2015.
8. ``Una revisión de la teoría dualidad Lagrangiana con aplicaciones en optimización cuadrática non convexa”, Stephanie Paola Caro Torres. October 21, 2016.
9. ``Una nueva clase de problemas cuasiconvexos con gap de dualidad cero”, Filip Agustín Thiele Guerrero. September 27, 2019.
10.``Optimización cuadrática sobre una restricción intervalar con incertidumbre'', Ariel Esteban Pérez Almonacid, March 22, 2021.
11.``Eficiencia en optimización multiobjetivo: resultados analíticos y algorítmicos'', Yamira Isabel Roa Céspedes, May 21, 2021.

Theses awarding the Master in Mathematics (Universidad de Concepción).
1.``Vector equilibrium problems involving moving cones'', Fernando Flores Bazán. Defense on November 30, 2001.
2. ``On the representation of the $\varepsilon$-$\Phi$-Subdifferential for a class on $\Phi$-convex functions with applications'', Dante Carrasco Olivera. Defense on November 29, 2002.
3. ``Dualidad Fuerte en Optimización No Convexa y Aplicaciones”, Máximo Florean Chávez Santos: Facultad de Ciencias - IMCA, Universidad Nacional de Ingeniería, Lima, Perú. Defense on July 16, 2019.

Theses awarding the PhD in Applied Sciences (Departamento de Ingeniería Matemática, Universidad de Concepción)
1. ``Asymptotic Analysis in Equilibrium Problems'', Rubén López Montoya. Defense on January 07, 2005.
2.``Existence and Optimality Conditions in Nonconvex Vector Optimization'', Cristián Vera Donoso. Defense on March 15, 2006.
3.``Second Order Asymptotic Analysis in Optimization'', Felipe Ignacio Lara Obreque. Defense on October 14, 2015.
4.``Strong Duality in Nonconvex Optimization and Related Properties'', Gabriel Cárcamo Aravena. Defense on November 29, 2018.
5.``A Theoretical Framework for the Environmental/Economical Dispatch Problem'', Adrian Carrillo Galvez. Defense on January 27, 2022.

Theses awarding the PhD in Mathematics (Departamento de Matemática, Universidad de Concepción)
6.``Some Problems in Nonconvex Optimization'', Luis González. Defense on March 15, 2023


Difusión y Transferencia


1. Invited talks (2015 ->):
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* Series of ten lectures (two hours each), as a short course, entitled “Vector Optimization”, delivered at Departamento de Gestión y Control de la Facultad de Economía y Negocios de la Universidad de Chile, Santiago-Chile, January 14 - 16; 21 - 23, 2015.
* "Strong duality in nonconvex optimization with a single equality and geometric constraints: applications to QP”, invited talk delivered at Dipartimento di Informatica, Università di Pisa, Pisa-Italy, 30 June, 2015.
* “A unifying model in vector optimization theory”, invited talk delivered at Departamento de Matemática Aplicada I, Escuela Técnica Superior de Ingeniería Industriales, Universidad Nacional de Educación a Distancia, Madrid-Spain, 09 July, 2015.
* “Lagrangian duality without standard convexity”, Series of five lectures (three hours each) delivered at Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingeniería, Lima - Perú, 04 - 10 February, 2016.
* “Introduction to Calculus of Variations”, Series of five lectures (three hours each) delivered at Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingeniería, Lima - Perú, 13 - 19 April, 2016.
* “A semi-infinite programming approach fo rthe circular conic STQOP: strong duality, optimality and hidden convexity”, invited talk delivered at Dipartimento di Informatica, Università di Pisa, Pisa-Italy, 04 July, 2016.
* “Does convexity arise in optimization naturally?”, Invited talk delivered at Center for Mathematical Modeling (CMM), Universidad de Chile, Santiago, 16 November, 2016.
* “De la Optimización a la teoría de juegos no-cooperativos: un recuento interesante”, Invited conference delivered at Facultad de Ciencias, Universidad Nacional de Ingeniería, Lima - Perú, 05 February, 2018.
* “Characterizing efficiency on infinite-dimensional commodity spaces with ordering cones having possibly empty interior”, Invited talk delivered at Centro de Investigación (CIUP), Universidad del Pacífico, Lima - Perú, 16 August, 2019.
* “Optimizando durante toda la vida: un recuento interesante”, Invited talk delivered at Área de Matemática, Facultad de Ciencias, Dirección General de Investigación de la Vicerrectoría de Investigación, Innovación y Postgrado, Universidad Arturo Prat, Iquique - Chile, 04 Septiembre, 2019.
* “Convexity of images for quadratic-linear mappings and applications”, invited talk delivered at Departamento de Matemática Aplicada I, Escuela Técnica Superior de Ingeniería Industriales, Universidad Nacional de Educación a Distancia, Madrid-Spain, 19 November, 2019.
* “Escalarizacion lineal y no lineal en optimización no convexa”, invited talk delivered at Escuela Técnica Superior de Ingeniería de Telecomunicación, Campus Miguel Delibes, Universidad de Valladolid, Spain, 25 November, 2019.
* “Quasiconvexity of the minimum of any translation of quasiconvex functions: some consequences for their sum and applications”, Invited talk delivered at Departamento de Matemática, Universidad de Tarapacá, Arica - Chile, 10 September, 2020. (Virtual)

2. Plenary/Invited speaker (2015 ->)
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* “Geometric and topological characterization of strong duality in nonconvex optimization”, Plenary conference at International Conference on Variational Analysis, Optimization and Quantitative Finance (honoring Terry Rockafellar’s 80th birthday, University of Limoges, Limoges-Francia, May 18-22, 2015.
* “Searching convexity in nonconvex optimization”, Plenary conference delivered in occasion of the XXIV Congreso de Matemática Capricornio (COMCA), Campus Playa Brava, Universidad Arturo Prat, Iquique-Chile, August 05-07, 2015.
* “Joint-range convexity for a pair of inhomogeneous quadratic functions with applications”, Plenary conference delivered in XII International Seminar on Optimization and Related Areas, Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingeniería, Lima - Perú, 05-09 October, 2015.
* “Local optimality implies global for a class of nonconvex integrals - Convexity of the image for a pair of quadratic functions”, Invited speaker in Recent trends in differential equations: an international conference to celebrate the 75th birthday of Arrigo Cellina and 60th birthday of Alberto Bressan, Universidad de Aveiro, Departamento de Matemática Aplicada, Aveiro-Portugal, 27 - 29 June, 2016.
* “The standard quadratic optimization problem beyond the polyhedral case reveals hidden convexity”, Plenary Conference at VIII International Congress of Computational and Applied Mathematics, Facultad de Ciencias, Universidad Nacional de Ingeniería, Lima-Perú, August 23 - 26, 2016.
* “The conjugate of one-dimensional set-valued maps and related properties”, Invited speaker in Third International Conference on Set-Valued Variational Analysis and Set Optimization with Applications to Economics, Finance, Statistics and Game Theory, Vienna University of Economics and Business, Vienna - Austria, 19 - 23 September, 2016.
* “Convexity: can we avoid it?”, Plenary conference delivered in occasion of the XXX Jornadas de Matemática de la Zona Sur, Campus San Andrés, Universidad Católica de la Santísima Concepción, Concepción-Chile, April 26-28, 2017.
* “The standard quadratic optimization problem and its extensions: strong duality, hidden convexity and S-lemma”, Contributed talk at XII International Symposium on Generalized Convexity/Monotonicity, Hajdúszoboszló - Hungary, August 27-September 02, 2017.
* “Convexity behind strong duality for a class of nonconvex quadratic optimization problems”, Invited conference delivered in XIII International Seminar on Optimization and Related Areas, Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingeniería, Lima - Perú, 09 - 13 October, 2017.
* “Nonconvex integrals in L 1 : strong duality, existence and local/global optimality”, Invited conference delivered in International Workshop on Optimization and Variational Analysis, Termas de Cauquenes, Universidad de O’higgins, Rancagua - Chile, 10 - 11 January, 2018.
* “A zero-scale asymptotic analysis for quasiconvex functions and related properties”, Contributed talk at International Conference on Variational Analysis and Nonsmooth Optimization, Martin-Luther Universität Halle-Wittenberg, Halle (Saale) - Germany, 28 June - 01 July, 2018.
* “Optimizando durante toda la vida”, Plenary conference delivered in occasion of the XXVII Congreso de Matemática Capricornio (COMCA), Campus Coloso, Universidad de Antofagasta, Antofagasta-Chile, July 25 - 27, 2018.
* “Quasiconvex optimization under zero-scale asymptotic analysis”, Contributed talk delivered in occasion of the XXVII Congreso de Matemática Capricornio (COMCA), Campus Coloso, Universidad de Antofagasta, Antofagasta-Chile, July 25 - 27, 2018.
* “The quadratic world and convexity with applications in nonconvex optimization”, Plenary Conference at IX International Congress of Computational and Applied Mathematics, Facultad de Ciencias, Universidad Nacional Agraria La Molina, Lima-Perú, August 06 - 09, 2019.
* “A new notion of asymptotic function in quasiconvex optimization with application to quadratic programming”, Contributed talk at Miniworkshop on “Optimización: herramientas teóricas y algoritmos” IX International Congress of Computational and Applied Mathematics, Facultad de Ciencias, Universidad Nacional Agraria La Molina, Lima-Perú, August 06 - 09, 2019.
* “A quadratic allocation process for a continuum of traders without standard convexity”, Invited conference delivered in XIV International Seminar on Optimization and Related Areas, Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingeniería, Lima - Perú, 07 - 11 October, 2019.
* “Sums of quasimonotone operators and sums of quasiconvex functions via quasimonotone family”, Invited conference at Workshop on Optimization and Variational Analysis (honoring Terry Rockafellar’s 85th birthday), CMM, University of Chile, Santiago-Chile, January 20 - 21, 2020.
* “Optimización positivamente homogégenea: de la programación matemática a integrales no convexas”, Plenary conference at Evento Científico in occasion of 60 anniversary of Facultad de Ciencias (Universidad Nacional de Ingeniería), UNI - IMCA, Lima-Perú,September 22 - 24, 2020. (Virtual)
* “Optimización homogénea no convexa”, Plenary conference at XIV International Fast Workshop on Applied and Computational Mathematics, Universidad Nacional de Trujillo, Trujillo-Perú, January 07 - 08, 2021. (Virtual)

3. Member of (International) Scientific Committee/Program (2015 ->):
--------------------------------------------------------------------------
• Main Organizer and Chairman of the Miniworkshop on “Optimización: herramientas teóricas y algoritmos” at IX International Congress of Computational and Applied Mathematics, (CIMAC IX) (August 06 - 09, 2019), Facultad de Ciencias, Universidad Nacional Agraria La Molina (UNALM), Lima-Perú.
• IX Congreso Internacional de Matemática Aplicada y Computacional (CIMAC IX) (August 06 - 09, 2019), Universidad Nacional Agraria La Molina (UNALM), Lima - Perú.
• XXVII Congreso de Matemática Capricornio (COMCA), (July 25 - 27, 2018), Campus Coloso, Universidad de Antofagasta, Antofagasta - Chile.
• XI Fast Workshop on Applied and Computational Mathematics (January 04 - 06, 2018), Universidad Nacional de Trujillo, Escuela de Postgrado, Departamento de Matemáticas, Trujillo - Perú.
• XII International Symposium of Generalized Convexity and Monotonicity (August 27 - September 02, 2017), Institute of Mathematics, University of Debrecen, Hajdúszoboszló - Hungary.
• XXX Jornadas de Matemática de la Zona Sur, Universidad Católica de la Santísima Concepción, Concepción-Chile, April 26 - 28, 2017.
• XIII International Seminar on Optimization and Related Areas, (October 09-13, 2017).
• XXX Jornadas de Matemática de la Zona Sur, (April 26-28, 2017), Universidad Católica de la Santísima Concepción, Concepción - Chile.
• X Fast Workshop on Applied and Computational Mathematics (January 06 - 07, 2017), Universidad Nacional de Trujillo, Departamento de Matemáticas, Trujillo - Perú.
• Third International Conference on Set-Valued Variational Analysis and Set Optimization with Applications to Economics, Finance, Statistics and Game Theory (16-19 September, 2016), Vienna University of Economics and Business, Vienna - Austria.
• VIII Congreso Internacional de Matemática Aplicada y Computacional (CIMAC VIII) (August 23 - 26, 2016), Universidad Nacional de Ingeniería, Facultad de Ciencias, Departamento de Matemáticas, Lima - Perú.
• IX Fast Workshop on Applied and Computational Mathematics (January 06 - 07, 2016), Universidad Nacional de Trujillo, Departamento de Matemáticas, Trujillo - Perú.
• Modelling, Computation and Optimization in Information Systems and Management Sciences (MCO 2015) (May 11 - 13, 2015), Lorraine University, Metz - France.
• VII Congreso Internacional de Matemática Aplicada y Computacional (CIMAC VII)

4. International cooperation projects
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Fondecyt-Conicyt:
* Main researcher of the Project FONDECYT 1212004 (ANID-Chile): “Further developments in mathematical optimization and quasimonotone operators”, April 2021 - March 2024.
* Main researcher of the Project FONDECYT 1181316 (ANID-Chile): “From mathematical programming to calculus of variations without standard convexity”, April 2018 - March 2021.
* Main researcher of the Project FONDECYT 115-0973 (CONICYT-Chile): “Optimization theory and mathematical programming without standard convexity”, March 2015 - February 2018.
* Main researcher of the Project FONDECYT 112-0980 (CONICYT-Chile): “Further developments in nonconvex optimization and equilibria”, March 2012 - February 2015.
* Main researcher of the Project FONDECYT 110-0667 (CONICYT-Chile): “Unifying general vector optimization problems and optimality conditions”, March 2010 - February 2012.
* Main researcher of the Project FONDECYT 107-0689 (CONICYT-Chile): “Further development in multivalued complementarity problems and vector optimization”, March 2007- February 2010.
* Main researcher of the Project FONDECYT 706-0106 (International Co-operation) (CONICYT-Chile): “Non-convex vector optimization and mathematical programming: existence and optimality conditions”, March 2006 - February 2007.
* Main researcher of the Project FONDECYT 104-0610 (CONICYT-Chile): “Non-convex vector optimization and mathematical programming: existence and optimality conditions”, March 2004 - February 2007.
* Main researcher of the Project FONDECYT 101-0116 (CONICYT-Chile): “Further developments in convex/non-convex optimization theory”, March 2001 - February 2004.
* Main researcher of the Project FONDECYT 199-0348 (CONICYT-Chile): “Nonclassical problems in optimization theory and Calculus of variations”, March 1999 - February 2001.
* Main researcher of the Project FONDECYT 197-0931 (CONICYT-Chile): “Further developments in the Calculus of Variations and Optimization Theory”, March 1997 - February 1999.
* Main researcher of the Project FONDECYT 195-1148 (CONICYT-Chile): “Some problems in Optimization in the absence of the Convexity/Superlinearity condition”, March 1995 - February 1997.

Fondap-Basal-Conicyt:
* Associate Researcher of the Basal Proyect FB210005 (ANID-Chile), ``Optimization and Equilibria'', Centro de Modelamiento Matemático (CMM), Universidad de Chile, November 2021 - December 2026.
* Associate Researcher of Proyecto Apoyo a Centro de Excelencia ACE210010 (ANID-Chile), Centro de Modelamiento Matemático (CMM), Universidad de Chile, October 2021 - April 2022.
* Associate Researcher of the Basal Project (CONICYT-Chile) AFB170001, “Optimization and Equilibria”, CMM, Universidad de Chile, May 2008 - April 2021.
* Researcher of the Project FONDAP-Matemáticas Aplicadas II (CONICYT), May 2000 - December 2010: “Optimization and Equilibria”.
* Researcher of the Project FONDAP (CONICYT), May 1997 - December 1999: “Optimization” being responsible of the sub-project “Non-classical variational problems”.

Programa Regional MATH-AmSud-CONICYT:
* MATH-AmSud, 22-MATH-07(AMSUD220020) Researcher “Optimality conditions and proximal methods for generalized convex optimization problems”. 01 January 2023 - 31 December 2024.
* MATH-AmSud 17math-06: Coordinator of the Chilean team and Researcher “From monotonocity to dynamic and equilibrium: structures and applications”. 01 January 2017 - 31 December 2018.
* MATH-AmSud 13math-01: Researcher “Variational analysis and its aplications to optimization, monotone operators, convex analysis and Nash equilibrium problems”. 01 January 2013 - 31 December 2014.

Ecos-Conicyt:
* Researcher of the Project ECOS-CONICYT (2010-033), January 2011 - December 2013. “Optimización no Diferenciable y Análisis Variacional: Teoría y Aplicaciones.
* Researcher of the Project ECOS-CONICYT, January 1997 - December 1999:“Optimisation et Analyse non-linéaire” being responsible of the sub-project“Problèmes d’existence en calcul des variations”.


Premios y Distinciones

  •   Distinguished Guest

    Universidad Nacional de Trujillo

    Peru, 2014

    In occasion of delivering a conference on July 22, 2014 at Departamento de Matemática.

  •   Special Recognition: ``Proyectos Externos Adjudicados''

    Universidad de Concepcion

    Chile, 2013

    Having obtained funds continuously from FONDECYT for at least 19 years. April 2013.

  •   Keynote Speaker

    Department of Mathematics, University of Isfahan

    Irán, 2009

    2nd International Conference of Nonlinear Analysis and Optimization (NAOP2009), Department of Mathematics, University of Isfahan, Isfahan - Iran, May 13-15, 2009.

  •   Distinguished Lecturer

    Department of Applied Mathematics, National Sun Yat-sen University

    Taiwán, 2008

    2nd Summer School, in occasion of the 9th Conference on Generalized Convexity and Generalized Monotonicity, Kaohsiung, Taiwan ROC, July 15 - 19, 2008

  •   Regular associate member

    The Abdus Salam International Centre for Theoretical Physics

    Italia, 2005

    For the period 1998--2005 and 2009--2014

  •   Corresponding Member

    Academia Nacional de Ciencia y Tecnología (ANCyT)

    Peru, 2005

    Corresponding Member of Academia Nacional de Ciencia y Tecnología (ANCyT), Lima - Perú, March 2005.

  •   Honorary Professor

    Universidad Nacional Pedro Ruiz Gallo

    Chile, 2008

    Honorary Professor at Universidad Nacional Pedro Ruiz Gallo, Lambayeque - Perú, since September 2008.

  •   Honorary Associate Member

    Sociedad Peruana de Matemática Aplicada y Computacional (SPMAC)

    Chile, 2006

    Honorary Associate Member of the Sociedad Peruana de Matemática Aplicada y Computacional (SPMAC), Lima - Perú, since February 2006.

  •   Prize in Sciences

    Municipal Government of Concepción city

    Chile, 2007

    Prize in Sciences 2007 awarded from the Municipal Government, Concepción, Chile, October 2007.

  •   Frontiers of Science

    Chilean Academy of Sciences

    Chile, 2007

    Frontiers of Science (Chilean Academy of Sciences), Selected young member, 2007 -- 2009.

  •   Plenarist at LXVI Encuentro Nacional de la Sociedad Matemática de Chile

    Sociedad Matemática de Chile

    Chile, 1994

    Selected young researcher by the Chilean Mathematical Society, Valparaíso-Chile, October 28-29, 1994.

  •   Special Recognition: ``Publicaciones WOS''

    UNIVERSIDAD DE CONCEPCION

    Chile, 2022

    Investigacion y Creacion Artistica de Excelencia, Categoria: ``Publicaciones WOS''


 

Article (67)

Characterizing optimality for a class of nonconvex quadratic robust optimization problems bilaterally quadratically constrained under interval uncertainty
Closedness under addition for families of quasimonotone operators
CONVEX REPRESENTATIVES OF THE VALUE FUNCTION AND AUMANN INTEGRALS IN NORMED SPACES
Effect of models uncertainties on the emission constrained economic dispatch. A prediction interval-based approach
First- and Second-Order Optimality Conditions for Quadratically Constrained Quadratic Programming Problems
On the Lower Semicontinuity of the Value Function and Existence of Solutions in Quasiconvex Optimization
CHARACTERIZING CONVEXITY OF IMAGES FOR QUADRATIC-LINEAR MAPPINGS WITH APPLICATIONS IN NONCONVEX QUADRATIC OPTIMIZATION\ast
Characterizing Existence of Minimizers and Optimality to Nonconvex Quadratic Integrals
Efficiency in quasiconvex multiobjective nondifferentiable optimization on the real line
A duality theory approach to the environmental/economic dispatch problem
Extensions of the Standard Quadratic Optimization Problem: Strong Duality, Optimality, Hidden Convexity and S-lemma
Extensions of the standard quadratic optmization problem: strong duality, optimality, hidden convexity and S-lemma
Proper or Weak Efficiency via Saddle Point Conditions in Cone-Constrained Nonconvex Vector Optimization Problems
Zero-scale asymptotic functions and quasiconvex optimization
Strong duality and KKT conditions in nonconvex optimization with a single equality constraint and geometric constraint
Computing the value of information of quadratic decision problems and its non-negativity conditions
Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap
Characterizing the convexity of joint-range for a pair of inhomogeneous quadratic functions and strong duality
First- and Second-Order Asymptotic Analysis with Applications in Quasiconvex Optimization
Characterizing efficiency on infinite-dimensional commodity spaces with ordering cones having possibly empty interior
CHARACTERIZING FJ AND KKT CONDITIONS IN NONCONVEX MATHEMATICAL PROGRAMMING WITH APPLICATIONS
Maximizing and minimizing quasiconvex functions: related properties, existence and optimality conditions via radial epiderivatives
Second Order Asymptotic Analysis: Basic Theory
A geometric characterization of strong duality in nonconvex quadratic programming with linear and nonconvex quadratic constraints
Fritz John Necessary Optimality Conditions of the Alternative-Type
ON THE CONVEXITY OF THE VALUE FUNCTION FOR A CLASS OF NONCONVEX VARIATIONAL PROBLEMS: EXISTENCE AND OPTIMALITY CONDITIONS
Characterizing the efficient points without closedness or free-disposability
Optimality conditions for a unified vector optimization problem with not necessarily preordering relations
STRONG DUALITY IN CONE CONSTRAINED NONCONVEX OPTIMIZATION
A complete characterization of strong duality in nonconvex optimization with a single constraint
Inner and outer estimates for the solution sets and their asymptotic cones in vector optimization
Maximal Elements Under Reference-Dependent Preferences with Applications to Behavioral Traps and Games
A Brezis-Browder principle on partially ordered spaces and related ordering theorems
A unified vector optimization problem: complete scalarizations and applications
Asymptotically Bounded Multifunctions and the MCP Beyond Copositivity
STRICT EFFICIENCY IN SET-VALUED OPTIMIZATION
Unifying efficiency and weak efficiency in generalized quasiconvex vector minimization on the real-line
Weak efficiency in multiobjective quasiconvex optimization on the real-line without derivatives
Characterizing efficiency without linear structure: a unified approach
An optimal alternative theorem and applications to mathematical programming
Asymptotic analysis, existence and sensitivity results for a class of multivalued complementarity problems
Characterization of the nonemptiness and compactness of solution sets in convex and nonconvex vector optimization
An iterative algorithm for random generalized nonlinear mixed variational inclusions for random fuzzy mappings
Characterizing Q-matrices beyond L-matrices
Characterizing Q-matrices beyond L-matrices
On the representation of approximate subdifferentials for a class of generalized convex functions
The linear complementarity problem under asymptotic analysis
Semistrictly quasiconvex mappings and non-convex vector optimization
Existence theory for finite-dimensional pseudomonotone equilibrium problems
Generalized vector quasi-equilibrium problems with applications
Generalized vector quasi-equilibrium problems with applications
Radial epiderivatives and asymptotic functions in nonconvex vector optimization
Radial epiderivatives and asymptotic functions in nonconvex vector optimization
Vector equilibrium problems under asymptotic analysis
Ideal, weakly efficient solutions for vector optimization problems
A variational problem related to a continuous-time allocation process for a continuum of traders
Existence theorems for generalized noncoercive equilibrium problems: The quasi-convex case
Optimality conditions in non-convex set-valued optimization
Simplified optimality conditions for minimizing the difference of vector-valued functions
Optimal solutions in an allocation process for a continuum of traders
Nonconvex variational problems related to a hyperbolic equation
Approximate minima via the Ekeland variational principle
On minima of the difference of functions
On radial solutions to non-convex variational problems
Some remarks about relaxation problems in the Calculus of Variations
Characterizing quasiconvexity of the pointwise infimum of a family of arbitrary translations of quasiconvex functions, with applications to sums and quasiconvex optimization
Vector equilibrium problems under asymptotic analysis

ConferencePaper (1)

Non-Negativity of Information Value in Games, Symmetry and Invariance

Proyecto (17)

Further developments in mathematical optimization and quasimonotone operators
From mathematical programming to calculus of variations without standard convexity
From monotonocity to dynamic and equilibrium: structures and applications
Optimización no convexa=> gap de dualidad y dualidad fuerte
Optimization theory and Mathematical programming without standard convexity
Direcciones asintóticas de segundo orden en teoría de optimización
Variational Analysis and its applications to optimization, monotone operators, convex analysis, and Nash equilibrium problems
FURTHER DEVELOPMENTS IN NONCONVEX OPTIMIZATION AND EQUILIBRIA
Optimización no Diferenciable y Análisis Variacional=> Teoría y Aplicaciones
UNIFYING GENERAL VECTOR OPTIMIZATION PROBLEMS AND OPTIMALITY CONDITIONS
FURTHER DEVELOPMENT IN MULTIVALUED COMPLEMENTARITY PROBLEMS AND VECTOR OPTIMIZATION
NON-CONVEX VECTOR OPTIMIZATION AND MATHEMATICAL PROGRAMMING=> EXISTENCE AND OPTIMALITY CONDITIONS
NON-CONVEX VECTOR OPTIMIZATION AND MATHEMATICAL PROGRAMMING=> EXISTENCE AND OPTIMALITY CONDITIONS
FURTHER DEVELOPMENTS IN CONVEX/NON-COVEX OPTIMIZATION THEORY
NON-CLASSICAL PROBLEMS IN OPTIMIZATION THEORY AND CALCULUS OF VARIATIONS
FURTHER DEVELOPMENTS IN THE CALCULUS OF VARIATIONS AND OPTIMIZATION THEORY
SOME PROBLEMS IN OPTIMIZATION IN THE ABSENCE OF THE CONVEXITY/SUPERLINEARITY CONDITION
72
Fabián Flores

Full Professor

Department of Mathematical Engineering

UNIVERSIDAD DE CONCEPCIÓN, DEPTO. INGENIERÍA MATEMÁTICA

Concepción, Chile

3
Felipe Lara

Postdoctorando

de Matemáticas

Universidad de tarapacá

Arica, Chile

2
Felipe Lara

Profesor Asistente

Universidad de Tarapacá

Arica, Chile

1
Gabriel Cárcamo

Docente Part-Time

Matemática

Universidad Católica de la Santísima Concepción

Concepción, Chile

1
Dante Carrasco

Docente

Matemática

UNIVERSIDAD DEL BÍO-BÍO

Concepción, Chile