dr hab. Jacek Chudziak

Publikacje

• [współaut.] Kočan Z Solutions of a Unification of the Cauchy and the Gołąb-Schinzel Type Equations on a Cone. - Results in Mathematics, 2024, Vol. 79, iss.8
• [współaut.] Chudziak M Zero utility principles coinciding on binary risks. - Aequationes Mathematicae, 2023, Vol. 97, iss. 5-6, s. 1245 - 1258
• [współaut.] Kočan Z Solutions of a composite type functional equation on a cone. - Annales Mathematicae Silesianae, 2023, s. 4
• Non-periodic solutions of the Gołąb-Schinzel type functional equation. - Results in Mathematics, 2023, Vol. 78, iss. 1
• Characterization of positive homogeneity for the principle of equivalent utility. - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, Vol. 116, iss. 3
• [współaut.] Páles Z, Pasteczka P From the Ingham-Jessen property to mixed-mean inequalities. - Journal of Mathematical Analysis and Applications, 2021, Vol. 499, iss 1
• On a derivation of the Goldstein-Einhorn probability weighting functions. - Aequationes Mathematicae, 2020, Vol. 94, s. 749-759
• On complementary symmetry under Cumulative Prospect Theory. - Journal of Mathematical Psychology, 2020, Vol. 95
• On positive homogeneity and comonotonic additivity of the principle of equivalent utility under Cumulative Prospect Theory. - Insurance: Mathematics and Economics, 2020, Vol. 94, p. 154-159
• [współaut.] Chudziak M On some applications of quasideviation means. - Journal of Difference Equations and Applications, 2019, Vol. 25, iss. 9-10, s. 1429-1437
• [współaut.] Głazowska D, Jarczyk J, Jarczyk W On weighted quasi-arithmetic means which are convex. - Mathematical Inequalities & Applications, 2019, vol. 22, no. 4, s. 1123-1136
• Certainty Equivalent under Cumulative Prospect Theory. - International Journal of Uncertainty, Fuzziness and Knowledge - Based Systems, 2019, vol. 27, no. 3, s. 415-428
• Extension problem for principles of equivalent utility. - Aequationes Mathematicae, 2019, Vol. 93, iss. 1, s. 217-238
• [współaut.] Agarwal R, Brzdęk J Stability problem for the composite type functional equations. - Expositiones Mathematicae, 2018, Vol. 36, Iss. 2, p. 178-196
• On applications of inequalities for quasideviation means in actuarial mathematics. - Mathematical Inequalities & Applications, 2018, vol. 21, no. 3, s. 601-610
• On existence and uniqueness of the principle of equivalent utility under Cumulative Prospect Theory. - Insurance: Mathematics and Economics, 2018, vol. 79, p. 243-246
• On functional equations stemming from actuarial mathematics. - Aequationes Mathematicae, 2018, Vol. 92, iss. 3, s. 471-486
• On quasi-convexity of the zero utility principle. - Journal of Nonlinear and Convex Analysis, 2018, Vol. 19, iss. 5, S. 749-758
• [współaut.] Kočan Z Gołąb-Schinzel equation on cylinders. - Aequationes Mathematicae, 2017, Vol. 91, iss. 3, s. 547-561
• [współaut.] Chudziak M, Sobek B Positive Homogeneity of the Principle of Equivalent Utility. - Acta Physica Polonica A, 2016, Vol. 129, nr 5, s. 941-944
• [współaut.] Guzik G Approximate helices of continuous iteration semigroups. - Journal of Mathematical Analysis and Applications, 2016, vol. 434, iss. 2, p. 1290-1301
• [współaut.] Halicki M On the Foster-Hart measure of riskiness under the cumulative prospect theory. - Acta Physica Polonica A, 2016, Vol. 129, nr 5, s. 950-954
• [współaut.] Halicki M, Wójcik S Scale invariance of principle of equivalent utility under cumulative prospect theory. - Acta Physica Polonica A, 2015, Vol. 127, nr 3-A, s. 433-435
• [współaut.] Kočan Z Functional equations of the Gołąb-Schinzel type on a cone. - Monatshefte fur Mathematik, 2015, Vol. 178, iss. 4, s. 521-537
• Continuous on rays solutions of a Gołąb-Schinzel type equation. - Bulletin of the Australian Mathematical Society, 2015, Vol. 91, iss. 02, p. 273-277
• On composite equations related to conjugation of some families of transformations. - Journal of Difference Equations and Applications, 2015, Vol. 21, iss. 9, s. 825-839
• On extension of the solutions of the Popoviciu type equations on groups. - Acta Mathematica Hungarica, 2015, Vol. 147, iss. 2, s. 338-353
• On functional equation stemming from utility theory and psychophysics. - Aequationes Mathematicae, 2015, Vol. 89, iss. 2, s. 355-365
• On solutions of a composite equation related to subsemigroups determination. - Semigroup Forum, 2015, Vol. 91, iss. 3, s. 641-647
• Quotient stability of a class of composite equations. - Acta Mathematica Hungarica, 2015, Vol. 145, Iss. 1, s. 88-103
• Solutions of some generalizations o0f the Gołąb-Schinzel equation W: Ludwig Reich 75 : a tribute by students, colleagues, and friends / Harald Fripertinger, Wolfgang Prager, Jens Schwaiger, and Jörg Tomaschek (eds.). Graz, Fachbibliothek für Mathematik, Karl-Franzens-Universität: 2015, S. 7-21
• [współaut.] Kocan Z Continuous solutions of conditional composite type functional equations. - Results in Mathematics, 2014, Vol. 66, iss. 1-2, s. 199-211
• [współaut.] Tabor J, Tabor J Conditionally δ-midconvex functions. - Aequationes Mathematicae, 2015, Vol. 89, iss. 4, s. 981-990
• Semigroup-valued solutions of some composite equations. - Aequationes Mathematicae, 2014, Vol. 88, iss. 1-2, s. 183-198
• [współaut.] Abbas A One-switch utility functions with annuity payments. - Applied Mathematics and Computation, 2013, Vol. 219, iss. 14, p. 7699-7710
• [współaut.] Wójcik S Periodic solutions in multivariate invariance arguments. - Opuscula Mathematica, 2013, Vol. 33, nr 3, s. 455-465
• Utility functions invariant with respect to some classes of shifts. - Acta Physica Polonica A, 2013, Vol. 123, no. 3, s. 508-512
• Utility functions invariant with respect to some classes of transformations. - Control and Cybernetics, 2013, Vol. 42, iss. 2, s. 347-363
• Approximate dynamical systems on interval. - Applied Mathematics Letters, 2012, Vol. 25, Iss. 3, s. 532-537
• On a class of one-switch multiattribute utility functions. - Acta Physica Polonica A, 2012, Vol. 121, nr 2, B11-B15
• [współaut.] Brzdęk J, Páles Z A fixed point approach to stability of functional equations. - Nonlinear Analysis : Theory, Methods & Applications, 2011, vol. 74, iss. 17, p. 6728-6732
• [współaut.] Tabor J Characterization of a condition related to a class of preinvex functions. - Nonlinear Analysis : Theory, Methods & Applications, 2011, vol. 74, iss. 16, p. 5572-5577
• [współaut.] Brillouët-Bellout N, Brzdęk J On solutions of Aczel's equation and some related equations. - Aequationes Mathematicae, 2010, vol. 80, iss. 1-2, p. 27-44
• On a class of multiattribute utility functions invariant under shift transformations. - Acta Physica Polonica A, 2010, Vol. 117, no. 4, p. 673-675
• Ubezpieczenia na życie : notatki do wykładu. Rzeszów, Wydawnictwo Oświatowe FOSZE: 2010, 80, [5] s.
• [współaut.] Abbas A, Aczél J Corrigenda to Invariance of multiattribute utility functions under shift transformations. - Results in Mathematics, 2009, Vol. 54, Iss. 3-4, p. 415-416
• [współaut.] Abbas A, Aczél J Invariance of multiattribute utility functions under shift transformations. - Results in Mathematics, 2009, Vol. 54, nr 1-2, s. 1-13
• [współaut.] Brillouët-Bellout N, Brzdęk J On continuous solutions of a class of conditional equations. - Publicationes Mathematicae. Debrecen, 2009, T. 75, fasc. 1-2, s. 11-22
• [współaut.] Guirao J, Snoha L, Špitalský V Universality with respect to ω-limit sets. - Nonlinear Analysis : Theory, Methods & Applications, 2009, vol. 71, iss. 5-6, p. 1485-1495
• [współaut.] Tabor J Generalized Pexider equation on a restricted domain. - Journal of Mathematical Psychology, 2008, vol. 52, iss. 6, s. 389-392
• Stability problem for the Gołąb-Schinzel type functional equations. - Journal of Mathematical Analysis and Applications, 2008, vol. 339, no. 1, s. 454-460
• Associative solutions of a composite generalization of addition formulae. - Acta Mathematica Hungarica, 2007, Vol. 117, Iss. 1-2, p. 141-152
• Continuous solutions of a generalization of the Gołab-Schinzel equation II. - Aequationes Mathematicae, 2006, Vol. 71, nr 1/2, s. 115-123
• Semigroup-valued solutions of the Gołąb-Schinzel type functional equation. - Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2006, Bd. 76, s. 91-98
• Stability of the generalized Gołąb-Schinzel equation. - Acta Mathematica Hungarica, 2006, Vol. 113, iss. 1/2, s. 133-144
• [współaut.] Tabor J On the stability of the Gołąb-Schinzel functional equation. - Journal of Mathematical Analysis and Applications, 2005, Vol. 302, iss. 1, s. 196-200
• Approximate solutions of the Gołąb-Schinzel equation. - Journal of Approximation Theory, 2005, Vol. 136, iss. 1, s. 21-25
• On a functional inequality related to the stability problem for the Gołąb-Schinzel equation. - Publicationes Mathematicae. Debrecen, (2005), Vol. 67, no. 1-2, s. 199-208
• [współaut.] Snoha L, Shpitalsky V From a Floyd-Auslander minimal system to an odd triangular map. - Journal of Mathematical Analysis and Applications, 2004, Vol. 296, iss. 2, s. 393-402
• [współaut.] Guirao J A characterization of zero topological entropy for a class of triangular mappings. - Journal of Mathematical Analysis and Applications, 2003, Vol. 287, iss. 2, s. 516-521