Angra dos Reis, July 17, Benar Fux Svaiter Organizing Committee

Transcription

1 We hereby certify that, Ademir Alves Ribeiro, Universidade Federal do Paraná, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: An extension of Fenchel's conjugation.

2 We hereby certify that, Alberto Seeger, Univ. de Avignon, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Eigenvalue analysis of linear complementarity systems.

3 We hereby certify that, Alexey F. Izmailov, Moscow State University, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: On critical Lagrange multipliers.

4 We hereby certify that, Alfred Auslender, Université Claude Bernard Lyon 1, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: A new method for nonlinear programming with extension to variational inequalities.

5 We hereby certify that, Alvaro Rodolfo De Pierro, UNICAMP - IMECC, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Alfredo, from Feasibility and Optimization to Inverse Problems.

6 We hereby certify that, Andreas Griewank, Humboldt Universität Zu Berlin, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Constrained Optimization by low rank Updating.

7 We hereby certify that, Andreas H. Hamel, Princeton University, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Convex analysis for set- and vector-valued functions.

8 We hereby certify that, Benar Svaiter, Instituto de Matematica Pura e Aplicada, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Projective splitting methods for the sum of monotone operators and the hybrid proximal-projection method.

9 We hereby certify that, Birgit Rudloff, Princeton University, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Hedging under proportional transaction costs.

10 We hereby certify that, C. Yalcin Kaya, University of South Australia, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Optimization Over the Efficient Set of Multi-objective Convex Optimal Control Problems.

11 We hereby certify that, Cesar Augusto Mahecha, Instituto Colombiano del Petróleo -Ecopetrol S.a., participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Impact of the Crudes Preheating Train in the Optimization of a Crude Distillation Unit system.

12 We hereby certify that, Claudia Marcela Justel, Instituto Militar de Engenharia, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Algebraic connectivity for classes of caterpillars.

13 We hereby certify that, Claudia Sagastizábal, Centro de Pesquisas de Energia Elétrica, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Bundle methods for nonconvex optimization.

14 We hereby certify that, Clovis Gonzaga, Universidade Federal de Santa Catarina, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Nesterov's optimal descent method for differentiable convex functions and extensions.

15 We hereby certify that, Damián Fernández, UNICAMP - IMECC, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: A quasi-newton strategy for the stabilized sequential quadratic programming method for variational inequality and optimization problems.

16 We hereby certify that, Diana Carolina López Cárdenas, Instituto Colombiano del Petróleo -Ecopetrol S.a., participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Impact of the Crude Pre-heating Trains in the Optimization of a Crude Distillation Unit System.

17 We hereby certify that, Eladio Ocaña Anaya, Instituto de Matemática y Ciencias Afines, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Maximality and continuity.

18 We hereby certify that, Elizabeth Wegner Karas, Universidade Federal do Paraná, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: A trust region algorithm for optimization without derivatives.

19 We hereby certify that, Ellen Hidemi Fukuda, USP Instituto de Matemática e Estatística, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: A Gauss-Newton-Type Method for Differentiable Exact Penalties.

20 We hereby certify that, Ernesto G. Birgin, USP Instituto de Matemática e Estatística, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Outer Trust-Region method for Constrained Optimization.

21 We hereby certify that, Eugenio Echagüe, Universidad Nac. de la Plata, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: The Constant Rank Condition is a Second Order Constraint Qualification.

22 We hereby certify that, Fernanda Maria Pereira Raupp, Pontifícia Universidade Católica do Rio de Janeiro, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: A quasi-newton algorithm for multiobjective optimization.

23 We hereby certify that, Hedy Attouch, Universite Montpellier 2, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Augmented Lagrangian and splitting proximal algorithms for variational inequalities: Applications to dynamical games, PDE's and optimal control.

24 We hereby certify that, Hugo Scolnik, Universidad de Buenos Aires, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: An Incomplete Oblique Projections Method for Solving Large-Scale Box Constrained Least Squares Problems.

25 We hereby certify that, Irene Loiseau, Universidad de Buenos Aires, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: The Bounded Cycle Cover Problem.

26 We hereby certify that, Isabel Maria Teixeira de Matos, Universidade de Lisboa, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Some Completion Problems.

27 We hereby certify that, Joerg Fliege, University of Southampton, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Computational optimization of wireless telecommunication networks.

28 We hereby certify that, Jonathan Eckstein, Rutgers University, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Proximal methods for nonlinear programming: double regularization and inexact subproblems.

29 We hereby certify that, José Fernández Hernández, Universidad de Murcia, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Interval analysis applied to multiobjective optimization problems: obtaining the complete weaky efficient set.

30 We hereby certify that, José Mario Martínez, UNICAMP - IMECC, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Inexact Restoration for Electronic Structure Calculations.

31 We hereby certify that, José Yunier Bello Cruz, Instituto de Matematica Pura e Aplicada, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: An Explicit Method for Variational Inequalities.

32 We hereby certify that, Juan Alfredo Gómez, Universidad de la Frontera, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Using different gradient formulae for inverse problems in ODE models.

33 We hereby certify that, Juan Enrique Martínez-Legaz, Universitat Autònoma de Barcelona, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Motzkin decomposition of closed convex sets.

34 We hereby certify that, Jurandir de Oliveira Lopes, Universidade Federal do Piauí, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Outer approximation schemes for generalized semi-infinite variational inequality problems.

35 We hereby certify that, Laura Aragone, Unr Rosario, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Numerical solution of a minimax optimal control problem using the Pontryagin maximum principle.

36 We hereby certify that, Lisandro Parente, Unr Rosario, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Proximal Methods for the Resolution of Variational Problems.

37 We hereby certify that, Luis Mauricio Graña Drummond, Universidade Federal do Rio de Janeiro, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: A projected gradient method for vector optimization with relative error and inexact line searches.

38 We hereby certify that, Luis Roman Lucambio Pérez, Universidade Federal de Goiás, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Conjugate directions in multicriteria optimization.

39 We hereby certify that, Maicon Marques Alves, Instituto de Matematica Pura e Aplicada, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Convex representations of maximal monotone operators in nonreflexive Banach spaces.

40 We hereby certify that, Marc Lassonde, Universit e Des Antilles Et de la Guyane, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Subdifferential estimate of the classical directional derivative for lower semicontinuous functions.

41 We hereby certify that, Marcia Helena Costa Fampa, Universidade Federal do Rio de Janeiro, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Allocation of firm-energy rights among hydro agents.

42 We hereby certify that, Maria Aparecida Diniz Ehrhardt, UNICAMP - IMECC, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Derivative-free optimization.

43 We hereby certify that, María Cristina Maciel, Universidad Nacional del Sur, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: A globalized Newton's method for minimizing matrix functions.

44 We hereby certify that, Marina Andretta, USP - Instituto de Ciências Matemáticas e Computação São Carlos, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Partial Spectral Projected Gradient Method with Active-Set Strategy for Linearly Constrained Optimization.

45 We hereby certify that, Mauricio Romero Sicre, Universidade Federal da Bahia, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: A hybrid predictor-corrector-proximal-point method for the linear monotone complementarity problem.

46 We hereby certify that, Mikhail Solodov, Instituto de Matematica Pura e Aplicada, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Identifying structure of nonsmooth convex functions by the bundle technique.

47 We hereby certify that, Mostafa Nasri, Université Laval, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Korpelevich's method for variational inequality problem in Banach spaces.

48 We hereby certify that, Olga Vasilieva, Universidad del Valle, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Application of parametric optimization techniques for optimal control.

49 We hereby certify that, Orizon Pereira Ferreira, Universidade Federal de Goiás, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Local convergence of the proximal point method for a special class of nonconvex functions on Hadamard manifolds.

50 We hereby certify that, Paulo José da Silva e Silva, USP Instituto de Matemática e Estatística, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: A semismooth Newton method for the continuous quadratic knapsack problem.

51 We hereby certify that, Paulo Klinger Monteiro, Fundação Getúlio Vargas, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Optimal auction with a general distribution: virtual valuation without a density.

52 We hereby certify that, Regina Burachik, University of South Australia, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: A Primal Dual Modified Subgradient Algorithm With Augmented Lagrangians.

53 We hereby certify that, Renato D C Monteiro, Georgia Institute of Technology, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: On the complexity of the hybrid proximal extragradient method for the iterates and the ergotic mean.

54 We hereby certify that, Roberto Andreani, UNICAMP - IMECC, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: On Generalizations of the AGP Optimality condition.

55 We hereby certify that, Rockafellar, Terry, University of Washington, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Approaches to risk in optimization under uncertainty.

56 We hereby certify that, Rolando Gárciga Otero, Universidade Federal do Rio de Janeiro, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: A proximal-like algorithm with regularized logarithmic barrier.

57 We hereby certify that, Romulo Castillo, Universidad Centro Occidental Lisandro Alvarado, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: A generalized like-distance in convex programming.

58 We hereby certify that, Sandra Augusta Santos, UNICAMP - IMECC, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: On the method of Moving Asymptotes for structural optimization: a relaxed and globally convergent version.

59 We hereby certify that, Sissy da Silva Souza, Universidade Federal do Piauí, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: A Proximal Method with Separable Bregman Distances for Quasiconvex Minimization over the Nonnegative Orthant.

60 We hereby certify that, Susana Scheimberg de Makler, Programa de Engenharia de Sistemas e Computação, Coppe/UFRJ, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: An Inexact Projection Method for an Equilibrium Problem in a Hilbert Space.

61 We hereby certify that, Véra Lucia da Rocha Lopes, UNICAMP - IMECC, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Attitude control problems by Sequential Quadratic Programming.

62 We hereby certify that, Victor A. Kovtunenko, University of Graz, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Semismooth methods for a hemivariational inequality.

63 We hereby certify that, Vincent Guigues, Instituto de Matematica Pura e Aplicada, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Risk-averse adaptives strategies for large-scale multistage stochastic linear programming.

64 We hereby certify that, Walter Figueiredo Mascarenhas, USP Instituto de Matemática e Estatística, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: A topological Mountain Pass Lemma and its implications regarding the uniqueness of constrained minimizers.

65 We hereby certify that, Wesley Vagner Inês Shirabayashi, Universidade Estadual de Maringá, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: A Predictor-Corrector Method for the Generalized Nonlinear Complementarity Problem in Polyhedral Cones.

66 We hereby certify that, Wilfredo Sosa Sandoval, Instituto de Matemática y Ciencias Afines, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: An existence result for equilibrium problems with some surjectivity consequences.

67 We hereby certify that, Yboon Victoria García Ramos, Centro de Modelamiento Matematico, Universidad de Chile, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Single-directional property of multivalued maps and lack of metric.

68 We hereby certify that, Yuan Jin Yun, Universidade Federal do Paraná, participated in the VIII Brazilian Workshop on Continuous Optimization "Celebrating Alfredo Iusem's 60th birthday", held at Hotel do Bosque, Angra dos Reis, RJ, from July 12 to 18, 2009 and presented the following work: Preconditioned iterative methods for solving indefinite problems.