Contributions

Invited Talks at Scientific Institutions

  • "Radially symmetric solutions for a class of nonconvex problems in the Calculus of Variations", talk delivered at SISSA, Trieste-Italy, March 13, 1991.

  • "Resultados de Existencia y no existencia en Cálculo de Variaciones", invited minicourse (a serie of three lectures) delivered at Universidad de Santiago de Chile, Facultad de Ciencias, Departamento de Matemáticas y Ciencias de la Computación, Santiago-Chile, September 1992.

  • "Una teoría de Dualidad no convexa", invited conference delivered at Facultad de Ciencias Físicas y Matemáticas, Universidad Nacional de La Libertad, Trujillo-Perú, Febrero 1993.

  • "Algunos tópicos en Ecuaciones Dif. Ordinarias, Sistemas Dinámicos y Cálculo de Variaciones", invited minicourse (a serie of five lectures) delivered at Universidad Nacional de Piura, Piura-Perú, Abril 1993.

  • "Algunas reflexiones sobre el problema de minimización en el Cálculo de Variaciones", invited talk delivered at Universidad Católica de la Santísima Concepción, Concepción-Chile, Julio 1994.

  • "Lower perturbations for some classes of non-convex integrals", talk delivered at SISSA, Trieste-Italy, January 10, 1995.

  • "Sul problema di non esistenza di minimo per una classe di funzionali con integrando non-convesso", invited talk delivered at Dipartimento di Matematica Pura ed Applicata, Universitá di Padova, Padova-Italy, February 01, 1995.

  • "El Teorema de Liapunov: Variantes y Aplicaciones", invited talk delivered at Departamento de Ingeniería Matemática, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago-Chile, October 25, 1995.

  • "Non-convex integrands in the Calculus of Variations", invited minicourse (a serie of three lectures) delivered at Departament de Matemática Aplicada i Análisi, Universidad de Barcelona, Barcelona-Spain, November 22-24, 1995.

  • "Algunas reflexiones en el Cálculo de Variaciones", talk delivered within the Colloqium of the Departamento de Ingeniería Matemática, Universidad de Concepción, Concepción-Chile, May 08, 1996.

  • "Remarks on the Ekeland variational principle and related properties", talk delivered at SISSA, Trieste-Italy, June 26, 1996.

  • "Aproximación numérica en el Cálculo de Variaciones", talk delivered at Facultad de Ciencias, Universidad Nacional de Ingeniería (UNI), Lima-Perú, July 19, 1996.

  • "De la geometría de los espacios de Banach a la teoría de optimización", talk delivered within the Colloqium of the Departamento de Ingeniería Matemática, Universidad de Concepción, Concepción-Chile, May 14, 1997.

  • "Un problema variacional en teoría del consumidor", talk delivered within the Colloqium of the Departamento de Ingeniería Matemática, Universidad de Concepción, Concepción-Chile, November 12, 1997.

  • "Optimización y Cálculo de Variaciones sin convexidad: una introducción", invited course delivered at the Instituto de Matemática y Ciencias Afines (IMCA), Lima-Perú, January 04 - 29, 1999.

  • "Problemas de minimización no-coercivos", talk delivered within the Colloqium of the Departamento de Ingeniería Matemática, Universidad de Concepción, Concepción-Chile, June 28, 2000.

  • "Existence in scalar/vector convex optimization and optimality conditions in non-convex set-valued minimization", invited lecture delivered at Centre for Mathematical Modeling, Universidad de Chile, Santiago-Chile, July 05, 2000.

  • "Non-coercive problems in optimization: theory and application", invited talk delivered at Centre for Mathematical Modeling, Universidad de Chile, Santiago-Chile, November 27, 2000.

  • "An existence theory for equilibrium problems", invited talk delivered at SISSA, Trieste-Italy, January 23, 2002.

  • "Recession analysis and minimization problems", invited talk delivered at Departament of Mathematics, Aligarh Muslim University, Aligarh-India, February 08, 2002.

  • "An introduction to the Calculus of Variations", invited talk delivered at Departament of Mathematics, Aligarh Muslim University, Aligarh-India, February 09, 2002.

  • "Star-shaped vector functions and non-convex vector optimization", invited talk delivered at Centre for Mathematical Modeling, Universidad de Chile, Santiago-Chile, May 29, 2002.

  • "Variational problems arising in mathematical economics", invited talk delivered at Departamento de Matemática, Universidad de Aveiro, Aveiro-Portugal, April 23, 2003.

  • "The vector Weierstrass theorem and generalized quasiconvex vector optimization", invited talk delivered at Dipartimento di Statistica, Universita degli Studi di Milano-Biccoca, Milan-Italy, July 17, 2003.

  • "Existence theory for non-coercive pseudomonotone equilibrium problems", invited talk delivered at Dipartimento di Sistemi ed Istituzioni per l`Economia, Universita degli Studi di L`Aquila, L`Aquila-Italy, July 21,2003.

  • "An overview of vector optimization and game theory", talk delivered at Colloqium of Departamento de Ingeniería Matemática, Universidad de Chile, Concepcion-Chile, 1st October 2003.

  • "Un problema variacional dependiente del Laplaciano y anílisis numérico", talk delivered at Colloqium of Departamento de Ingeniería Matemática, Universidad de Concepcion, Concepcion-Chile, June 23, 2004.

  • "De la Optimizacion a la Teoria de Juegos", talk delivered at Colloqium of Departamento de Ingeniería Matemática, Universidad de Chile, Concepcion-Chile,  September 28, 2005.

  • "De la Optimizacion a la Teoria de Juegos No-cooperativos: un recuento interesante", conference delivered within the  Incorporation Ceremony as a Corrresponding Member, Academia Nacional de Ciencia y Tecnologia (ANCyT), Lima-Peru,  October 06, 2005.

  • "Weak efficiency in convex and quasiconvex vector minimization: existence and optimality conditions",  a series of  fourth invited lectures delivered at talk delivered at Departamento de Matematica Aplicada I, Universidad  Nacional de Educacion a Distancia, Madrid-Spain,  07, 08, 14 and 15 November, 2005.

  • "A unified approach for linear complementarity problems",  invited talk delivered at talk delivered at Departamento de Matematica Aplicada I, Universidad Nacional de Educacion a Distancia, Madrid-Spain,  19 June, 2006.

  • "A general existence theory and sensibility for multivalued complementarity problems", invited talk delivered at Departamento de Matemática Aplicada I, Escuela Técnica Superior de Ingeniería Industriales, Universidad Nacional de Educación a Distancia, Madrid-Spain, 16 Julio, 2007.

  • "Efficiency and weak efficiency in vectorial optimization", invited talk at Area Ciencias Básicas, Facultad de Ingeniería, Universidad Católica de la Santísima Concepción, Concepción-Chile, 16 Octubre, 2007.

  • "Asymptotically bounded multifunctions and MCP beyond copositivity", invited seminar at Analyse Nonlineaire et Optimisation Seminaire, Departament de Mathematique, Universite d'Avignon, Avignon-France, 22 May, 2008.

  • "Optimization multiobjetivo y convexidad escondida", talk delivered within the Colloqium of the Departamento de Ingeniería Matemática, Universidad de Concepción, Concepción-Chile, August 20, 2008.

  • "An alternative theorem and applications in mathematical optimization", talk delivered at Departamento Académico de Matemática, Universidad Nacional de Trujillo, Trujillo-Perú, October 12, 2009.

  • "Gordan-type alternative theorems with applications in mathematical programming" and "A general class of vector functions with applications in vector optimization", invited lectures within the TRAINING-PROGRAMME-2010 on "Optimization theory and applications" ad Departament of Mathematics, Faculty of Mathematical Sciences, University of Delhi (UD), Delhi-India, 10-14 February, 2010.

  • "Nonlinear complementarity problems with asymptotically bounded multifunctions:existence and sensitivity results", invited talk delivered at Dipartimento di Matematica, Università di Pisa, Pisa-Italy, 01 June 2011.

  • "The role of convexity in nonconvex optimization: from mathematical programming to calculus of variations", invited talk delivered at Departamento de Matemática Aplicada I, Escuela Técnica Superior de Ingeniería Industriales, Universidad Nacional de Educación a Distancia, Madrid-Spain, 21 October, 2011.

  • "An alternative-type formulation of the Fritz John/KKT optimality conditions", invited talk delivered at Departamento Académico de Matemática, Universidad Nacional de Trujillo, Trujillo-Perú, 24 September, 2012.

  • "A geometric characterization of strong duality in nonconvex quadratic programming", invited talk, delivered at Dipartimento di Informatica, Università di Pisa, Pisa-Italy, 03 December, 2012.

  • "Las condiciones de Fritz John, KKT y la propiedad de dualidad fuerte en optimización no convexa", invited talk delivered at Facultad de Ciencias, Universidad Nacional de Ingeniería (UNI), Lima-Perú, 10 May, 2013.

  • "The two-dimensional world in (nonconvex) multiobjective programming", invited talk delivered at Dipartimento di Informatica, Università di Pisa, Pisa-Italy, 25 June, 2013.

  • "Unifying efficiency and weak efficiency in vector optimization", invited talk delivered at Dipartimento di Matematica, Università di Genova, Genova-Italy, 05 June, 2014.

  • "Cuando la convexidad en optimización surge de modo natural", invited talk delivered at Departamento Acadiémico de Matemática, Universidad Nacional de Trujillo, Trujillo-Perú, July 22, 2014.

  • 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.

  • "Nonconvex quadratic optimization", Series of five lectures (three hours each) delivered at Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingeniería, Lima - Perú, 15 - 19 August, 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.

  • "Nonconvex quadratic optimization", Series of five lectures (three hours each) delivered at Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingeniería, Lima - Perú, 15 - 19 August, 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.

  • "Convexity of images for quadratic-linear mappings and applications", Invited talk, delivered at Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingeniería, Lima - Perú, 20 February, 2019

  • "The role of zero-scaled asymptotic functions in quasiconvex optimization", Invited talk delivered at Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingenería, Lima - Perú, 26 April, 2019