## Scientific Program Cluster Details

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### Cluster: Variational analysis

#### Monday

**10:30 - 12:00, room: H 2035**

**Chair: Roland Herzog**

Nonsmooth phenomena in optimal control

Meyer | Boundary control of the obstacle problem [...] |

Gerdts | Globalized semi-smooth Newton methods in optimal control problems with DAEs [...] |

Schmidt | Properties of the optimal value function and application to worst-case robust optimal control problems [...] |

**10:30 - 12:00, room: H 2051**

**Chair: Alfredo Noel Iusem**

Equilibrium problems and related topics

Ferreira | Local convergence of Newton's method under majorant condition in Riemannian manifolds [...] |

Scheimberg | A reflection-projection method for equilibrium problems [...] |

Drummond | New strategies for vector optimization problems [...] |

**13:15 - 14:45, room: H 2035**

**Chair: Sara Maria Grundel**

Eigenvalue and semi-infinite optimization

Grundel | Variational analysis of the spectral abscissa for defective and derogatory matrices [...] |

Tchemisova | On a constructive approach to optimality conditions for convex SIP problems with polyhedral index sets [...] |

Eaton | On the subdifferential regularity of functions of roots of polynomials [...] |

**13:15 - 14:45, room: H 2051**

**Chair: Alejandro Jofré**

Variational analysis and economic equilibrium

Jourani | A characterization of the free disposal condition for nonconvex economies on infinite-dimensional commodity spaces [...] |

Bonnisseau | On the rank of payoff matrices with long-term assets [...] |

Jofré | The robust stability of every equilibrium in economic models of exchange even under relaxed standard conditions [...] |

**15:15 - 16:45, room: H 2035**

**Chair: Xiaoqi Yang**

Lower order exact penalty functions

Yang | Optimality conditions via exact penalty functions [...] |

Tian | An interior-point *l*_{1/2}-penalty method for nonlinear programming [...] |

Chen | Exact penalty functions for semi-infinite programming [...] |

**15:15 - 16:45, room: H 2051**

**Chair: Nguyen Dong Yen**

Some applications of variational analysis

Nguyen | Variational analysis of minimal time functions with unbounded dynamics and generalized smallest enclosing circle problems [...] |

Eberhard | Approaches to optimality conditions using nonsmooth and variational methods [...] |

Lee | On constraint qualifications for mathematical programs with equilibrium constraints [...] |

#### Tuesday

**10:30 - 12:00, room: H 2035**

**Chair: Andreas Griewank**

Nonsmooth analysis via piecewise-linearization

Khan | Evaluating an element of the Clarke generalized Jacobian of a piecewise differentiable function [...] |

Griewank | On piecewise linearization and lexicographic differentiation [...] |

Fiege | An exploratory line-search for piecewise smooth functions [...] |

**10:30 - 12:00, room: H 2051**

**Chair: Genaro López and Chong Li**

Variational inequalities and optimization problems on Riemannian manifolds

Colao | Equilibrium problems in Hadamard manifolds [...] |

Leustean | Firmly nonexpansive mappings in classes of geodesic spaces [...] |

Oliveira | Proximal and descent methods on Riemannian manifolds [...] |

**13:15 - 14:45, room: H 2035**

**Chair: Aram V. Arutyunov and Fernando Lobo Pereira**

Control and optimization of impulsive systems I

Karamzin | Existence theorems and Pontryagin's Maximum Principle for impulsive control problems [...] |

Silva | Optimal impulsive control problems under uncertainty [...] |

de Oliveira | An Invexity Type Condition on Impulsive Optimal Control Systems [...] |

**13:15 - 14:45, room: H 2051**

**Chair: Constantin Zalinescu**

Regularity and sensitivity in multicriteria optimization

Durea | Metric regularity and Fermat rules in set-valued optimization [...] |

Strugariu | Metric regularity and subregularity of set-valued mappings with applications to vector optimization [...] |

Zalinescu | Variational principles for multifunctions and applications [...] |

**15:15 - 16:45, room: H 2035**

**Chair: Dmitry Karamzin and Fernando Lobo Pereira**

Control and optimization of impulsive systems II

Arutyunov | The R.V. Gamkrelidze's maximum principle for state constrained optimal control problem: Revisited [...] |

Goncharova | Impulsive systems with mixed constraints [...] |

Pfeiffer | Sensitivity analysis for relaxed optimal control problems with final-state constraints [...] |

**15:15 - 16:45, room: H 2051**

**Chair: Héctor Ramírez**

Recent advances on linear complementarity problems

Hiriart-Urruty | A variational approach of the rank function [...] |

Ramírez | Existence and stability results based on asymptotic analysis for semidefinite linear complementarity problems [...] |

#### Wednesday

**10:30 - 12:00, room: H 2035**

**Chair: Russell Luke**

Nonsmooth variational inequalities: Theory and algorithms

Luke | Constraint qualifications for nonconvex feasibility problems [...] |

Sabach | A first order method for finding minimal norm-like solutions of convex optimization problems [...] |

Cherugondi | A descent method for solving an equilibrium problem based on generalized D-gap function [...] |

**10:30 - 12:00, room: H 2051**

**Chair: Guoyin Li**

Quadratic and polynomial optimization

Kim | On *ε*-saddle point theorems for robust convex optimization problems [...] |

Li | Error bound for classes of polynomial systems and its applications: A variational analysis approach [...] |

**13:15 - 14:45, room: H 2035**

**Chair: Stephen Michael Robinson**

Structural properties in variational analysis

Mordukhovich | Second-Order variational analysis and stability in optimization [...] |

Lewis | Active sets and nonsmooth geometry [...] |

Lu | Confidence regions and confidence intervals for stochastic variational inequalities [...] |

**13:15 - 14:45, room: H 2051**

**Chair: Patrizia Daniele**

Equilibrium problems: Formulations and methodologies

Daniele | General financial models: Methodologies and suggestions for the recovery [...] |

Crespi | Minty variational principle in set optimization [...] |

Wakolbinger | A variational inequality formulation of economic network equilibrium models with nonlinear constraints [...] |

**15:15 - 16:45, room: H 2035**

**Chair: Radek Cibulka**

Nonsmooth analysis with applications in engineering

Iusem | Th effect of calmness on the solution set of nonlinear equaltions [...] |

Uderzo | On some calmness conditions for nonsmooth constraint systems [...] |

Cibulka | Quantitative stability of a generalized equation: Application to non-regular electrical circuits [...] |

**15:15 - 16:45, room: H 2051**

**Chair: Abderrahim Hantoute and Rafael Correa**

Some stability aspects in optimization theory

Hantoute | On convex relaxation of optimization problems [...] |

Pang | First order analysis of set-valued maps and differential inclusions [...] |

Shikhman | Implicit vs. inverse function theorem in nonsmooth analysis [...] |

#### Thursday

**10:30 - 12:00, room: H 2035**

**Chair: Jan-J. Ruckmann**

Structure and stability of optimization problems

Ruckmann | Max-type objective functions: A smoothing procedure and strongly stable stationary points [...] |

Gfrerer | Second-order conditions for a class of nonsmooth programs [...] |

Fusek | On metric regularity of the Kojima function in nonlinear semidefinite programming [...] |

**10:30 - 12:00, room: H 2051**

**Chair: Akhtar A. Khan and Christian Clason**

Optimization methods for nonsmooth inverse problems in PDEs

Kaltenbacher | Iterative regularization of parameter identification in PDEs in a Banach space framework [...] |

Hofmann | On smoothness concepts in regularization [...] |

Clason | Inverse problems for PDEs with uniform noise [...] |

**13:15 - 14:45, room: H 2035**

**Chair: Rene Henrion**

Stability of constraint systems

Izmailov | Strong regularity and abstract Newton schemes for nonsmooth generalized equations [...] |

Henrion | On (co-)derivatives of the solution map to a class of generalized equations [...] |

Lopez | Lower semicontinuity of the feasible set mapping of linear systems relative to their domains [...] |

**13:15 - 14:45, room: H 2051**

**Chair: Mau Nam Nguyen**

Variational analysis of optimal value functions and set-valued mappings with applications

Bounkhel | Regularity concepts of perturbed distance functions at points outside of the set in Banach spaces [...] |

Kum | A geometric mean of parameterized arithmetic and harmonic means of convex functions [...] |

Yen | Coderivatives of a Karush-Kuhn-Tucker point set map and applications [...] |

**13:15 - 14:45, room: MA 649**

**Chair: Elena Resmerita**

Variational methods in inverse problems

Klann | A Mumford-Shah type approach for tomography data [...] |

Pricop-Jeckstadt | Genomic selection and iterative regularization methods [...] |

Pöschl | TV-denoising and evolution of sets [...] |

**15:15 - 16:45, room: H 2035**

**Chair: Andreas H. Hamel**

Set-valued convex and quasiconvex duality

Schrage | Dini derivatives for vector- and set-valued functions [...] |

Hamel | Lagrange duality in set optimization [...] |

Drapeau | Complete duality for convex and quasiconvex set-valued functions [...] |

**15:15 - 16:45, room: H 2051**

**Chair: Wilfredo Sosa**

Semi-continuous programming

Ribeiro | Fenchel-Moreau conjugation for lower semi-continuous functions [...] |

Raupp | A duality scheme for semi-continuous programming [...] |

Sosa | Separation theorems for closed sets [...] |

#### Friday

**10:30 - 12:00, room: H 2035**

**Chair: Dmitriy Drusvyatskiy**

Variational-analytic foundations of sensitivity analysis

Zhang | Partial smoothness, tilt stability, and generalized Hessians [...] |

Husain | On second-order Fritz John type duality for variational problems [...] |

Drusvyatskiy | Identifiability and the foundations of sensitivity analysis [...] |

**10:30 - 12:00, room: H 2051**

**Chair: Vera Roshchina and Robert Baier**

Generalized differentiation and applications

Pallaschke | Quasidifferentiable calculus and minimal pairs of compact convex sets [...] |

Bagirov | Subgradient methods in nonconvex nonsmooth optimization [...] |

Goncharov | Well-posedness of minimal time problem with constant convex dynamics via differential properties of the value function [...] |

**13:15 - 14:45, room: H 2035**

**Chair: Alexander Zaslavski**

Optimization in infinite dimensional spaces

Blot | Discrete-time Pontryagin principles and ordered Banach spaces [...] |

Donchev | Runge-Kutta methods for differential equations with variable time of impulses [...] |

Resmerita | A discrepancy principle for the augmented Lagrangian method [...] |

**13:15 - 14:45, room: H 2051**

**Chair: Radu Ioan Bot**

Duality in convex optimization

Csetnek | Conjugate duality and the control of linear discrete systems [...] |

Heinrich | The support vector machines approach via Fenchel-type duality [...] |

Grad | Classical linear vector optimization duality revisited [...] |

**15:15 - 16:45, room: H 2051**

**Chair: Radu Ioan Bot**

Monotone operators

Bot | Approaching the maximal monotonicity of bifunctions via representative functions [...] |

Rocco | On a surjectivity-type property of maximal monotone operators [...] |

László | Regularity conditions for the maximal monotonicity of the generalized parallel sum [...] |