Research

Articles:

  1. „Closed-Form Expressions for Projectors onto Polyhedral Sets in Hilbert Spaces”, SIAM Journal on Optimization (SIOPT),  arxiv linksiam link (2017)
  2. „Proximal primal–dual best approximation algorithm with memory”, Computational Optimization and Applications, axiv linkcoap link (2018)
  3. „On Lipschitz-like property for polyhedral moving sets”, SIAM Journal on Optimization (SIOPT), arxiv linksiam link (2019)
  4. „On Lipschitz-like continuity of a class of set-valued mappings”, Optimization, arxiv linkoptimization link (2019)
  5. „On tangent cone to systems of inequalities and equations in Banach spaces under relaxed constant rank condition”, arxiv linkESAIM link (2021)
  6. „On Lipschitz continuity of projections onto polyhedral moving sets”, arxiv linkApplied Mathematics & Optimization (2021)
  7. „Dynamical System Related to Primal–Dual Splitting Projection Methods”, Journal of Dynamics and Differential Equations, arxiv link, JoDDE link (2021)
  8. „Constraint Qualification with Schauder Basis for Infinite Programming Problems”, Applied Mathhematics & Optimzation 88, 66 (2023). AMAO link

Conferences and Workshops:

  1. ODAM 2023 – Olomoucian Days of Applied Mathematics 2023,
    12-14 June 2023, Olomunc, Czech Republic
    On the Use of Octree Method in Application to Cultural Heritage
  2. GPCO 2022 – 8th German-Polish Conference on Optimization
    September 27-30, 2022 Apolda, Germany
    „Abadie Condition under Relaxed Constant Rank Qualification+”
  3. IFIP TC7 System Modeling and Optimization
    July 4-8, 2022, Warsaw
    „Dynamical system related to a class of primaldual algorithms for convex optimization”
  4. WoMBat 2020, the fifth Workshop on Optimisation, Metric Bounds, Approximation and Transversality
    Online, 30 November–4 December 2020
    „On autonomous ODE corresponding to Haugazeau’s algorithm”
  5. ICCOPT 2019, the Sixth International Conference on Continuous Optimization
    Berlin, 3-8 August 2019
    „On projected dynamical system related to best approximation primal-dual algorithm for solving maximally monotone operators inclusion problem”
  6. 69th Workshop VARIATIONAL ANALYSIS AND APPLICATIONS
    Italy, Erice 28 August – 5 September 2018
    „On projected proximal primal-dual dynamical system associated with maximally monotone inclusions”
  7. 9th International Conference „Inverse Problems: Modeling and Simulation”
    Malta, 21-25 May 2018
    „On Variants of Best Approximation Iterative Schemes for Solving Maximally Monotone Inclusion Problems with Applications”
  8. GPCO 2017- 7th German-Polish Conference on Optimization
    Poland, Bedlewo 27 August – 1 September 2017
    „Closed-form formulas for projections with applications to inertial proximal best approximation methods”
  9. 28th European Conference on Operational Research
    Poland, Poznan 3-6 July 2016
  10. 14th EUROPT Workshop on Advances in Continuous Optimization
    Poland, Warsaw 1-2 July 2016
    „Primal-dual proximal point algorithm with inertial effect”
  11. V Interdyscyplinarne Warsztaty Matematyczne
    Poland, Bedlewo 5-7 June 2015
    „Introduction to inverse problems together with primal-dual algorithms solving regularization problem”
  12. Joint Meeting of the German Mathematical Society and the Polish Mathematical Society
    Poland, Poznan 17-20 September 2014

Schools:

  1. Summer School on Inverse Problems
    Germany, Munster 22-25 September 2015 
  2. Computational Harmonic Analysis with Applications to Signal and Image Processing
    France, Marsylie 20-24 October 2014