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Uniwersytet Śląski w Katowicach

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Instytut Matematyki

dr hab. Justyna Sikorska

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Profesor Uczelni

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Równania i nierówności funkcyjne

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(32) 359 20 95

justyna.sikorska@us.edu.pl

0000-0002-4559-4493

 

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Redaktor Annales Mathematicae Silesianae

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  • Magister Matematyki – Uniwersytet Śląski, Katowice 1992 r.
  • Doktor Nauk Matematycznych – Uniwersytet Śląski, Katowice 1998 r.
  • Doktor Habilitowany Nauk Matematycznych – Uniwersytet Śląski, Katowice 2011 r.
Plan zajęć Plan zajęć

Poniedziałek

16:15 – 17:45    Seminarium
  sala 553

Wtorek

16:15 – 17:45    Seminarium   sala 553

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Piątek


 

Publikacje Publikacje

Artykuły naukowe

  1. Jacek Chmieliński, Justyna Sikorska, Paweł Wójcik, On a ρ-orthogonally additive mappings, Results Math 75, 108 (2020), doi:10.1007/s00025-020-01238-9.
  2. Justyna Sikorska, On a class of abstract convex cone valued functional equations, Aequationes Math. 94, 535–545 (2020), doi:10.1007/s00010-019-00669-2.
  3. Justyna Sikorska, Alienation and the stability problem, Results Math 75, 98 (2020), doi:10.1007/s00025-020-01216-1
  4. Justyna Sikorska, On a method of solving some functional equations for set-valued functions, Set-Valued Var. Anal 27, 295-304 (2019), doi:10.1007/s11228-017-0465-0.
  5. Radosław Łukasik, Justyna Sikorska, Tomasz Szostok, On an equation of Sophie Germain, Results Math 73, 60 (2018), doi:10.1007/s00025-018-0820-y.
  6. Justyna Sikorska, A singular behaviour of a set-valued approximate orthogonal additivity, Results Math 70, no. 1-2, 163-172 (2016).
  7. Zygfryd Kominek, Justyna Sikorska, Alienation of the logarithmic and exponential functional equations, Aequationes Math. 90, no. 1, 107-121 (2016).
  8. Justyna Sikorska, Set-valued orthogonal additivitySet-Valued Var. Anal 23, 547-557 (2015).
  9. Janusz Brzdęk, Włodzimierz Fechner, Mohammad S. Moslehian, Justyna Sikorska, Recent developments of the conditional stability of the homomorphism equationBanach J. Math. Anal. 9, no. 3, 278-327 (2015).
  10. Justyna Sikorska, Orthogonalities and functional equations, Aequationes Math. 89, 215-277 (2015).
  11. Anna Bahyrycz, Janusz Brzdęk, Magdalena Piszczek, Justyna Sikorska, Hyperstability of the Fréchet equation and a characterization of inner product spacesJ. Funct. Spaces 2013, Article ID 496361 (2013).
  12. Włodzimierz Fechner, Justyna Sikorska, On a separation for the Cauchy equation on spheres, Nonlinear Anal. 75, 6306-6311 (2012).
  13. Zygfryd Kominek, Justyna Sikorska, On a Jensen-Hosszú equation, IIMath. Inequal. Appl. 15, 61-67 (2012).
  14. Gian Luigi Forti, Justyna Sikorska, Variations on the Drygas equation and its stability, Nonlinear Anal. 74, 343-350 (2011).
  15. Justyna Sikorska, On a direct method for proving the Hyers-Ulam stability of functional equations, J. Math. Anal. Appl. 372, 99-109 (2010), doi:10.1016/j.jmaa.2010.06.056.
  16. Włodzimierz Fechner, Justyna Sikorska, On the stability of orthogonal additivity, Bulletin Polish Acad. Sci. Math. 58, 23-30 (2010), doi:10.4064/ba58-1-3.
  17. Janusz Brzdęk, Justyna Sikorska, On a conditional exponential functional equation and its stability, Nonlinear Anal. 72, 2923-2934 (2010).
  18. Justyna Sikorska, Exponential functional equation on spheresAppl. Math. Lett. 23 (2), 156-160 (2010).
  19. Justyna Sikorska, On a pexiderized conditional exponential functional equationActa Math. Hungar. 125, no.3, 287-299 (2009).
  20. Justyna Sikorska, On two conditional Pexider functional equations and their stabilities, Nonlinear Anal. 70, 2673-2684 (2009), doi:10.1016/j.na.2008.03.054.
  21. Justyna Sikorska, Generalized stability of the Cauchy and Jensen functional equations on spheres, J. Math. Anal. Appl. 345, 650-660 (2008).
  22. Claudi Alsina, Justyna Sikorska, M. Santos Tomás, On the equation of the ρ-orthogonal additivityComment. Math. 47, no. 2, 171-178 (2007).
  23. Justyna Sikorska, Tomasz Szostok, On mappings preserving equilateral triangles in normed spacesJ. Geom. 85, 149-156 (2006).
  24. Claudi Alsina, Maciej Sablik, Justyna Sikorska, On a functional equation based upon a result of Gaspard MongeJ. Geom. 85, 1-6 (2006).
  25. Justyna Sikorska, Generalized orthogonal stability of some functional equationsJ Inequal Appl 2006, Art. ID 12404, 23 pp. (2006),  doi:10.1155/JIA/2006/12404.
  26. Justyna Sikorska, Stability of the preservation of the equality of distance, J. Math. Anal. Appl. 311, 209-217 (2005).
  27. Justyna Sikorska, Tomasz Szostok, On mappings preserving equilateral trianglesJ. Geom. 80, no. 1-2, 209-218 (2004).
  28. Justyna Sikorska, Orthogonal stability of the Cauchy functional equation on balls in normed linear spaces, Demonstratio Math. 37, no. 3, 579-596 (2004).
  29. Justyna Sikorska, On a functional equation related to power means, Aequationes Math. 66, no. 3, 261-276 (2003).
  30. Justyna Sikorska, Orthogonal stability of the Cauchy equation on balls, Demonstratio Math. 33, no. 3, 527-546 (2000).
  31. Justyna Sikorska, Note on a functional equation related to the power meansMath. Pannon. 11/ 2, 199-204 (2000).
  32. Justyna Sikorska, Differentiable solutions of a functional equation related to the non-power means, Aequationes Math. 55, 146-152 (1998).
  33. Roman Ger, Justyna Sikorska, On the Cauchy equation on spheres, Ann. Math.  Silesianae 11, 89-99 (1997).
  34. Roman Ger, Justyna Sikorska, Stability of the orthogonal additivity, Bulletin Polish Acad. Sci. Math. 43, no. 2, 143-151 (1995).

Monografie naukowe

   

Claudi Alsina, Justyna Sikorska, M. Santos Tomás, Norm Derivatives and Characterizations of Inner Product Spaces, World Scientific Publishing Co., New Jersey – London – Singapore, 2010; doi: 10.1142/7452, ISBN: 978-981-4287-26-5 (hardcover), ISBN: 978-981-4466-80-6 (ebook).

Materiały konferencyjne / rozdziały w monografiach naukowych

  1. Włodzimierz Fechner, Justyna Sikorska, Sandwich theorems for orthogonally additive functions, Inequalities and Applications, International Series of Numerical Mathematics, vol. 157, 269-281 (2008).
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