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## Brzdęk, Janusz

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 Author ID: brzdek.janusz Published as: Brzdȩk, Janusz; Brzdęk, Janusz; Brzdȩk, J.; Brzdek, Janusz; Brzdęk, J.; Brzd{e}k, J. Homepage: http://matematyka.up.krakow.pl/pracow.php?ac=7374149 External Links: dblp · GND
 Documents Indexed: 143 Publications since 1989, including 5 Books
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#### Co-Authors

 53 single-authored 18 Xu, Bing 15 Ciepliński, Krzysztof 14 Popa, Dorian 12 Bahyrycz, Anna 10 Leśniak, Zbigniew 7 El-hady, El-sayed 7 Jabłońska, Eliza 6 Fošner, Ajda 6 Piszczek, Magdalena 5 Brillouët-Belluot, Nicole 5 Cădariu, Liviu I. 4 Chudziak, Jacek 4 Jung, Soon-Mo 3 Badora, Roman 3 Rassias, Themistocles Michael 3 Sikorska, Justyna 2 Batko, Bogdan 2 El-Fassi, Iz-Iddine 2 Förg-Rob, Wolfgang Johann Josef 2 Malejki, Renata 2 Moslehian, Mohammad Sal 2 Nassar, Hamed 2 Olko, Jolanta 2 Páles, Zsolt 2 Rasa, Ioan 2 Schwaiger, Jens 2 Stević, Stevo 1 Agarwal, Ravi P. 1 Chahbi, Abdellatif 1 Chmieliński, Jacek 1 Eghbali, Nasrin 1 Fechner, Włodzimierz 1 Ger, Roman 1 Grabiec, Artur 1 Kabbaj, Samir 1 Karapınar, Erdal 1 Mureńko, Anna 1 Najdecki, Adam 1 Pacho, P. 1 Petruşel, Adrian 1 Pietrzyk, Andrzej 1 Tabor, Józef 1 Wójcik, Paweł 1 Zdun, Marek Cezary 1 Zhang, Weinian
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#### Serials

 22 Aequationes Mathematicae 12 Journal of Mathematical Analysis and Applications 8 Publicationes Mathematicae 7 Bulletin of the Australian Mathematical Society 7 Acta Mathematica Hungarica 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Abstract and Applied Analysis 5 Journal of Fixed Point Theory and Applications 4 Glasnik Matematički. Serija III 4 Journal of Function Spaces 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Applied Mathematics and Computation 3 Archiv der Mathematik 3 Demonstratio Mathematica 2 Annales Polonici Mathematici 2 Pacific Journal of Mathematics 2 Results in Mathematics 2 Applied Mathematics Letters 2 Discrete Dynamics in Nature and Society 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Function Spaces and Applications 2 Fixed Point Theory 2 Springer Optimization and Its Applications 1 Computers & Mathematics with Applications 1 Zeszyty Naukowe Politechniki Śląskiej. Matematyka-Fizyka 1 Archivum Mathematicum 1 Manuscripta Mathematica 1 Proceedings of the American Mathematical Society 1 Semigroup Forum 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Prace Naukowe Uniwersytetu Śląskiego w Katowicach. Annales Mathematicae Silesianae 1 SIAM Review 1 Expositiones Mathematicae 1 Zeszyty Naukowe Akademii Górniczo-Hutniczej Im. Stanisława Staszica. Opuscula Mathematica 1 Anzeiger. Abteilung II. Österreichische Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse 1 Journal of Difference Equations and Applications 1 Journal of Inequalities and Applications 1 Nonlinear Analysis. Real World Applications 1 Fixed Point Theory and Applications 1 Advances in Difference Equations 1 The Australian Journal of Mathematical Analysis and Applications 1 Carpathian Journal of Mathematics 1 Banach Center Publications 1 Banach Journal of Mathematical Analysis 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Advances in the Theory of Nonlinear Analysis and its Applications 1 Mathematical Analysis and its Applications
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#### Fields

 134 Difference and functional equations (39-XX) 18 Operator theory (47-XX) 12 Functional analysis (46-XX) 9 Group theory and generalizations (20-XX) 8 General topology (54-XX) 7 General and overarching topics; collections (00-XX) 5 Topological groups, Lie groups (22-XX) 4 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 3 Associative rings and algebras (16-XX) 3 Measure and integration (28-XX) 3 Probability theory and stochastic processes (60-XX) 2 Functions of a complex variable (30-XX) 2 Integral equations (45-XX) 2 Numerical analysis (65-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX)

#### Citations contained in zbMATH Open

121 Publications have been cited 1,432 times in 497 Documents Cited by Year
A fixed point approach to stability of functional equations. Zbl 1236.39022
Brzdęk, Janusz; Chudziak, Jacek; Páles, Zsolt
2011
On some recent developments in Ulam’s type stability. Zbl 1259.39019
Brillouët-Belluot, Nicole; Brzdȩk, Janusz; Ciepliński, Krzysztof
2012
A fixed point approach to the stability of functional equations in non-Archimedean metric spaces. Zbl 1237.39022
Brzdȩk, Janusz; Ciepliński, Krzysztof
2011
Hyperstability of the Cauchy equation on restricted domains. Zbl 1313.39037
Brzdęk, Janusz
2013
Ulam stability of operators. Zbl 1393.39001
Brzdęk, Janusz; Popa, Dorian; Raşa, Ioan; Xu, Bing
2018
Hyperstability and superstability. Zbl 1293.39013
Brzdȩk, Janusz; Ciepliński, Krzysztof
2013
Recent developments of the conditional stability of the homomorphism equation. Zbl 1312.39031
Brzdęk, Janusz; Fechner, Włodzimierz; Moslehian, Mohammad Sal; Sikorska, Justyna
2015
The Gołąb-Schinzel equation and its generalizations. Zbl 1078.39021
Brzdȩk, Janusz
2005
A hyperstability result for the Cauchy equation. Zbl 1290.39016
Brzdęk, Janusz
2014
Remarks on hyperstability of the Cauchy functional equation. Zbl 1303.39016
Brzdȩk, Janusz
2013
Note on nonstability of the linear recurrence. Zbl 1126.39019
Brzdęk, J.; Popa, D.; Xu, B.
2006
The Hyers-Ulam stability of nonlinear recurrences. Zbl 1123.39022
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2007
On the quotient stability of a family of functional equations. Zbl 1172.39032
Brzdęk, Janusz
2009
On a method of proving the Hyers-Ulam stability of functional equations on restricted domains. Zbl 1175.39014
Brzdȩk, Janusz
2009
Remarks on stability of linear recurrence of higher order. Zbl 1206.39019
Brzdęk, Janusz; Popa, Dorian; Xu, Bing
2010
Fixed point theory and the Ulam stability. Zbl 1314.39029
Brzdȩk, Janusz; Cădariu, Liviu; Ciepliński, Krzysztof
2014
On nonstability of the linear recurrence of order one. Zbl 1193.39006
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2010
Hyers-Ulam stability for linear equations of higher orders. Zbl 1174.39012
Brzdȩk, J.; Popa, D.; Xu, B.
2008
A conditional exponential functional equation and its stability. Zbl 1187.39032
Brzdȩk, Janusz; Sikorska, Justyna
2010
Subgroups of the group $$Z_ n$$ and a generalization of the Gołąb- Schinzel functional equation. Zbl 0757.39003
Brzdȩk, Janusz
1992
A note on stability of the general linear equation. Zbl 1149.39018
Brzdȩk, Janusz; Pietrzyk, Andrzej
2008
Remarks on stability of some inhomogeneous functional equations. Zbl 1316.39011
Brzdęk, Janusz
2015
Stability of the equation of the $$p$$-Wright affine functions. Zbl 1272.39015
Brzdęk, Janusz
2013
On solutions of the d’Alembert equation on a restricted domain. Zbl 1277.39036
Bahyrycz, Anna; Brzdȩk, Janusz
2013
Selections of set-valued maps satisfying a linear inclusion in a single variable. Zbl 1205.39025
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2011
Fixed-point results and the Hyers-Ulam stability of linear equations of higher orders. Zbl 1319.39018
Xu, Bing; Brzdęk, Janusz; Zhang, Weinian
2015
Stability of additivity and fixed point methods. Zbl 1297.39026
Brzdęk, Janusz
2013
A note on stability of a linear functional equation of second order connected with the Fibonacci numbers and Lucas sequences. Zbl 1198.39036
Brzdȩk, Janusz; Jung, Soon-Mo
2010
On Ulam’s type stability of the linear equation and related issues. Zbl 1419.39053
Brzdęk, Janusz; Ciepliński, Krzysztof; Leśniak, Zbigniew
2014
Hyers-Ulam stability with respect to gauges. Zbl 1404.34016
Brzdęk, Janusz; Popa, Dorian; Raşa, Ioan
2017
On approximate solutions of some difference equations. Zbl 1379.39003
Brzdęk, Janusz; Wójcik, Paweł
2017
A fixed point theorem and the Hyers-Ulam stability in non-Archimedean spaces. Zbl 1286.47049
Brzdȩk, Janusz; Ciepliński, Krzysztof
2013
On a conditional Gołab-Schinzel equation. Zbl 1075.39028
Brzdek, Janusz; Mureńko, Anna
2005
On stability of a family of functional equations. Zbl 1274.39052
Brzdȩk, J.
2010
A note on stability of an operator linear equation of the second order. Zbl 1273.39023
Brzdȩk, Janusz; Jung, Soon-Mo
2011
On approximate solutions of the linear functional equation of higher order. Zbl 1204.65147
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2011
Some remarks on solutions of the functional equation $$f(x+f(x)^ ny)=tf(x)f(y)$$. Zbl 0808.39013
Brzdȩk, Janusz
1993
Bounded solutions of the Gołab-Schinzel equation. Zbl 0961.39011
Brzdȩk, Janusz
2000
A generalization of addition formulae. Zbl 1050.39031
Brzdȩk, J.
2003
Remarks on the stability of Lie homomorphisms. Zbl 1280.39016
Brzdȩk, Janusz; Fošner, Ajda
2013
Hyperstability of the Fréchet equation and a characterization of inner product spaces. Zbl 1287.39017
Bahyrycz, Anna; Brzdȩk, Janusz; Piszczek, Magdalena; Sikorska, Justyna
2013
On approximately $$p$$-Wright affine functions in ultrametric spaces. Zbl 1287.39016
Bahyrycz, Anna; Brzdȩk, Janusz; Piszczek, Magdalena
2013
On approximate solutions of some delayed fractional differential equations. Zbl 1381.34103
Brzdȩk, Janusz; Eghbali, Nasrin
2016
Hyers-Ulam stability of the delay equation $$y'(t)=\lambda y(t-\tau )$$. Zbl 1210.34108
Jung, Soon-Mo; Brzdȩk, Janusz
2010
On a fixed point theorem in 2-Banach spaces and some of its applications. Zbl 1399.39063
Brzdȩk, Janusz; Ciepliński, Krzysztof
2018
On continuous solutions and stability of a conditional Gołąb-Schinzel equation. Zbl 1174.39011
Brillouët-Belluot, Nicole; Brzdȩk, Janusz
2008
On orthogonally exponential and orthogonally additive mappings. Zbl 0870.39011
Brzdek, Janusz
1997
Remarks on the Hyers-Ulam stability of some systems of functional equations. Zbl 1311.39039
Brzdęk, Janusz; Ciepliński, Krzysztof
2012
On hyperstability of the biadditive functional equation. Zbl 1399.39066
El-Fassi, Iz-Iddine; Brzdek, Janusz; Chahbi, Abdellatif; Kabbaj, Samir
2017
On functionals which are orthogonally additive modulo $$\mathbb{Z}$$. Zbl 0862.39012
Brzdȩk, Janusz
1996
On the isosceles orthogonally exponential mappings. Zbl 0963.46015
Brzdȩk, J.
2000
A note on stability of additive mappings. Zbl 0844.39012
Brzdȩk, Janusz
1994
A remark on solutions of a generalization of the addition formulae. Zbl 1094.39020
Brzdȩk, Janusz
2006
On approximately additive functions. Zbl 1235.39017
Brzdȩk, Janusz
2011
On continuous solutions of a class of conditional equations. Zbl 1212.39031
Brillouët-Belluot, Nicole; Brzdȩk, Janusz; Chudziak, Jacek
2009
The Christensen measurable solutions of a generalization of the Gołąb-Schinzel functional equation. Zbl 0860.39034
Brzdȩk, Janusz
1996
A note on a fixed point theorem and the Hyers-Ulam stability. Zbl 1254.39012
2012
Hyers-Ulam stability of a system of first order linear recurrences with constant coefficients. Zbl 1418.39027
Xu, Bing; Brzdęk, Janusz
2015
Remarks on solutions to the functional equations of the radical type. Zbl 1412.39024
Brzdȩk, Janusz
2017
A fixed point theorem and the Ulam stability in generalized dq-metric spaces. Zbl 1402.54037
Brzdęk, Janusz; Karapınar, Erdal; Petruşel, Adrian
2018
On continuous solutions of a conditional Gołąb-Schinzel equation. Zbl 1045.39016
Brzdȩk, J.
2001
Fixed points of a mapping and Hyers-Ulam stability. Zbl 1311.39035
2014
On orthogonally exponential functionals. Zbl 1010.39011
Brzdȩk, Janusz
1997
On functions that are approximate fixed points almost everywhere and Ulam’s type stability. Zbl 1328.39041
Bahyrycz, Anna; Brzdęk, Janusz; Jabłońska, Eliza; Olko, Jolanta
2015
On approximate solutions of the generalized Volterra integral equation. Zbl 1295.45008
Bahyrycz, Anna; Brzdȩk, Janusz; Leśniak, Zbigniew
2014
A fixed point theorem and the Hyers-Ulam stability in Riesz spaces. Zbl 1391.39031
Batko, Bogdan; Brzdęk, Janusz
2013
The Cauchy and Jensen differences on semigroups. Zbl 0862.39011
Brzdȩk, Janusz
1996
On the Baxter functional equation. Zbl 0857.39011
Brzdȩk, Janusz
1996
A fixed point theorem in $$n$$-Banach spaces and Ulam stability. Zbl 1441.39025
Brzdęk, Janusz; Ciepliński, Krzysztof
2019
A note on solutions of a functional equation arising in a queuing model for a LAN gateway. Zbl 1345.30030
Brzdęk, Janusz; El-hady, El-sayed; Förg-Rob, Wolfgang; Leśniak, Zbigniew
2016
On the Cauchy difference on normed spaces. Zbl 0864.39009
Brzdȩk, J.
1996
On the continuous solutions of a generalization of the Gołąb-Schnizel equation. Zbl 1052.39023
Brzdȩk, J.
2003
On solutions of a generalization of the Reynolds functional equation. Zbl 1163.39013
Brzdȩk, Janusz
2008
A note on stability of the Popoviciu functional equation on restricted domain. Zbl 1221.39035
Brzdęk, Janusz
2010
Ulam’s stability of a generalization of the Fréchet functional equation. Zbl 1339.39023
Bahyrycz, Anna; Brzdęk, Janusz; Jabłońska, Eliza; Malejki, Renata
2016
Note on stability of the Cauchy equation - an answer to a problem of Th. M. Rassias. Zbl 1389.39047
Brzdȩk, Janusz
2014
On a generalization of the Cauchy functional equation. Zbl 0788.39004
Brzdȩk, Janusz
1993
On the structure and solutions of functional equations arising from queueing models. Zbl 1441.39022
El-Hady, El-Sayed; Brzdęk, Janusz; Nassar, Hamed
2017
Selections of set-valued maps satisfying some inclusions and the Hyers-Ulam stability. Zbl 1311.39038
Brzdȩk, Janusz; Piszczek, Magdalena
2014
Two general theorems on superstability of functional equations. Zbl 1322.39011
Brzdȩk, Janusz; Najdecki, Adam; Xu, Bing
2015
Note on nonstability of the linear functional equation of higher order. Zbl 1231.39012
Brzdek, Janusz; Popa, Dorian; Xu, Bing
2011
A note on stability of polynomial equations. Zbl 1277.39037
Brzdȩk, Janusz; Stević, Stevo
2013
Remarks on solutions to a generalization of the radical functional equations. Zbl 1397.39016
Brzdęk, Janusz; Schwaiger, Jens
2018
On the solutions of the functional equation $$f(xf(y)^ l + yf(x)^ k) = tf(x)f(y)$$. Zbl 0741.39008
Brzdȩk, Janusz
1991
On measurable orthogonally exponential functions. Zbl 0924.39018
Brzdȩk, Janusz
1999
On functions satisfying some inequalities. Zbl 0815.39011
Brzdȩk, J.
1993
On almost additive functions. Zbl 0865.39007
Brzdȩk, Janusz
1996
On extensions of the generalized cosine functions from some large sets. Zbl 1399.39043
Bahyrycz, A.; Brzdȩk, J.; Jabłońska, E.
2016
Remarks on stability and non-stability of the linear functional equation of the first order. Zbl 1334.39057
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2014
A note on d’Alembert’s functional equation on a restricted domain. Zbl 1305.39016
Bahyrycz, Anna; Brzdȩk, Janusz
2014
On solutions of Aczél’s equation and some related equations. Zbl 1215.39023
Brillouët-Belluot, Nicole; Brzdȩk, Janusz; Chudziak, Jacek
2010
Ulam type stability. Based on the conferences on Ulam type stability (CUTS), Cluj-Napoca, Romania, July 4–9, 2016 and Timisoara, Romania, October 8–13, 2018. Zbl 1431.39001
Brzdęk, Janusz (ed.); Popa, Dorian (ed.); Rassias, Themistocles M. (ed.)
2019
On the hyperstability of a pexiderised $$\sigma$$-quadratic functional equation on semigroups. Zbl 1387.39018
El-Fassi, Iz-Iddine; Brzdęk, Janusz
2018
Stability for a family of equations generalizing the equation of $$p$$-Wright affine functions. Zbl 1410.39044
Brzdęk, Janusz; Cădariu, Liviu
2016
On approximately additive mappings in 2-Banach spaces. Zbl 1440.39017
2020
On approximately microperiodic mappings. Zbl 1164.39012
Brzdȩk, J.
2007
On the generalized Fréchet functional equation with constant coefficients and its stability. Zbl 1390.39085
Brzdęk, Janusz; Leśniak, Zbigniew; Malejki, Renata
2018
Subgroups of the Clifford group. Zbl 0737.20021
Brzdȩk, Janusz
1991
On the Cauchy difference. Zbl 0780.39008
Brzdȩk, Janusz
1992
Stability of the Cauchy congruence on restricted domain. Zbl 1059.39018
Brzdȩk, Janusz; Tabor, Józef
2004
On approximately additive mappings in 2-Banach spaces. Zbl 1440.39017
2020
A fixed point theorem in $$n$$-Banach spaces and Ulam stability. Zbl 1441.39025
Brzdęk, Janusz; Ciepliński, Krzysztof
2019
Ulam type stability. Based on the conferences on Ulam type stability (CUTS), Cluj-Napoca, Romania, July 4–9, 2016 and Timisoara, Romania, October 8–13, 2018. Zbl 1431.39001
Brzdęk, Janusz; Popa, Dorian; Rassias, Themistocles M.
2019
Ulam stability of operators. Zbl 1393.39001
Brzdęk, Janusz; Popa, Dorian; Raşa, Ioan; Xu, Bing
2018
On a fixed point theorem in 2-Banach spaces and some of its applications. Zbl 1399.39063
Brzdȩk, Janusz; Ciepliński, Krzysztof
2018
A fixed point theorem and the Ulam stability in generalized dq-metric spaces. Zbl 1402.54037
Brzdęk, Janusz; Karapınar, Erdal; Petruşel, Adrian
2018
Remarks on solutions to a generalization of the radical functional equations. Zbl 1397.39016
Brzdęk, Janusz; Schwaiger, Jens
2018
On the hyperstability of a pexiderised $$\sigma$$-quadratic functional equation on semigroups. Zbl 1387.39018
El-Fassi, Iz-Iddine; Brzdęk, Janusz
2018
On the generalized Fréchet functional equation with constant coefficients and its stability. Zbl 1390.39085
Brzdęk, Janusz; Leśniak, Zbigniew; Malejki, Renata
2018
Hyers-Ulam stability with respect to gauges. Zbl 1404.34016
Brzdęk, Janusz; Popa, Dorian; Raşa, Ioan
2017
On approximate solutions of some difference equations. Zbl 1379.39003
Brzdęk, Janusz; Wójcik, Paweł
2017
On hyperstability of the biadditive functional equation. Zbl 1399.39066
El-Fassi, Iz-Iddine; Brzdek, Janusz; Chahbi, Abdellatif; Kabbaj, Samir
2017
Remarks on solutions to the functional equations of the radical type. Zbl 1412.39024
Brzdȩk, Janusz
2017
On the structure and solutions of functional equations arising from queueing models. Zbl 1441.39022
El-Hady, El-Sayed; Brzdęk, Janusz; Nassar, Hamed
2017
Fixed points of some nonlinear operators in spaces of multifunctions and the Ulam stability. Zbl 1417.39079
Brzdȩk, Janusz; Piszczek, Magdalena
2017
Developments in functional equations and related topics. Selected papers based on the presentations at the 16th international conference on functional equations and inequalities, ICFEI, Będlewo, Poland, May 17–23, 2015. Zbl 1381.39001
Brzdęk, Janusz; Ciepliński, Krzysztof; Rassias, Themistocles M.
2017
On extensions of the generalised Jensen functions on semigroups. Zbl 1368.39018
Brzdęk, Janusz; Jabłońska, Eliza
2017
Approximately $$p$$-Wright affine functions, inner product spaces and derivations. Zbl 1362.39033
Bahyrycz, Anna; Brzdęk, Janusz; Piszczek, Magdalena
2017
On approximate solutions of some delayed fractional differential equations. Zbl 1381.34103
Brzdȩk, Janusz; Eghbali, Nasrin
2016
A note on solutions of a functional equation arising in a queuing model for a LAN gateway. Zbl 1345.30030
Brzdęk, Janusz; El-hady, El-sayed; Förg-Rob, Wolfgang; Leśniak, Zbigniew
2016
Ulam’s stability of a generalization of the Fréchet functional equation. Zbl 1339.39023
Bahyrycz, Anna; Brzdęk, Janusz; Jabłońska, Eliza; Malejki, Renata
2016
On extensions of the generalized cosine functions from some large sets. Zbl 1399.39043
Bahyrycz, A.; Brzdȩk, J.; Jabłońska, E.
2016
Stability for a family of equations generalizing the equation of $$p$$-Wright affine functions. Zbl 1410.39044
Brzdęk, Janusz; Cădariu, Liviu
2016
On stability of a functional equation of quadratic type. Zbl 1389.39046
Brzd{e}k, J.; Jabłońska, E.; Moslehian, M. S.; Pacho, P.
2016
Remarks on solutions of a functional equation arising from an asymmetric switch. Zbl 1375.39042
El-Hady, El-Sayed; Brzdęk, Janusz; Förg-Rob, Wolfgang; Nassar, Hamed
2016
Survey on recent Ulam stability results concerning derivations. Zbl 1347.39025
Brzdęk, Janusz; Cădariu, Liviu; Ciepliński, Krzysztof; Fošner, Ajda; Leśniak, Zbigniew
2016
Recent developments of the conditional stability of the homomorphism equation. Zbl 1312.39031
Brzdęk, Janusz; Fechner, Włodzimierz; Moslehian, Mohammad Sal; Sikorska, Justyna
2015
Remarks on stability of some inhomogeneous functional equations. Zbl 1316.39011
Brzdęk, Janusz
2015
Fixed-point results and the Hyers-Ulam stability of linear equations of higher orders. Zbl 1319.39018
Xu, Bing; Brzdęk, Janusz; Zhang, Weinian
2015
Hyers-Ulam stability of a system of first order linear recurrences with constant coefficients. Zbl 1418.39027
Xu, Bing; Brzdęk, Janusz
2015
On functions that are approximate fixed points almost everywhere and Ulam’s type stability. Zbl 1328.39041
Bahyrycz, Anna; Brzdęk, Janusz; Jabłońska, Eliza; Olko, Jolanta
2015
Two general theorems on superstability of functional equations. Zbl 1322.39011
Brzdȩk, Janusz; Najdecki, Adam; Xu, Bing
2015
On approximate generalized Lie derivations. Zbl 1321.47088
Brzdęk, Janusz; Fošner, Ajda
2015
A hyperstability result for the Cauchy equation. Zbl 1290.39016
Brzdęk, Janusz
2014
Fixed point theory and the Ulam stability. Zbl 1314.39029
Brzdȩk, Janusz; Cădariu, Liviu; Ciepliński, Krzysztof
2014
On Ulam’s type stability of the linear equation and related issues. Zbl 1419.39053
Brzdęk, Janusz; Ciepliński, Krzysztof; Leśniak, Zbigniew
2014
Fixed points of a mapping and Hyers-Ulam stability. Zbl 1311.39035
2014
On approximate solutions of the generalized Volterra integral equation. Zbl 1295.45008
Bahyrycz, Anna; Brzdȩk, Janusz; Leśniak, Zbigniew
2014
Note on stability of the Cauchy equation - an answer to a problem of Th. M. Rassias. Zbl 1389.39047
Brzdȩk, Janusz
2014
Selections of set-valued maps satisfying some inclusions and the Hyers-Ulam stability. Zbl 1311.39038
Brzdȩk, Janusz; Piszczek, Magdalena
2014
Remarks on stability and non-stability of the linear functional equation of the first order. Zbl 1334.39057
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2014
A note on d’Alembert’s functional equation on a restricted domain. Zbl 1305.39016
Bahyrycz, Anna; Brzdȩk, Janusz
2014
On stability of the linear and polynomial functional equations in single variable. Zbl 1311.39037
Brzdȩk, Janusz; Piszczek, Magdalena
2014
A note on the functions that are approximately $$p$$-Wright affine. Zbl 1319.39016
Brzdȩk, Janusz
2014
Remarks on stability of the equation of homomorphism for square symmetric groupoids. Zbl 1311.39036
Bahyrycz, Anna; Brzdȩk, Janusz
2014
Hyperstability of the Cauchy equation on restricted domains. Zbl 1313.39037
Brzdęk, Janusz
2013
Hyperstability and superstability. Zbl 1293.39013
Brzdȩk, Janusz; Ciepliński, Krzysztof
2013
Remarks on hyperstability of the Cauchy functional equation. Zbl 1303.39016
Brzdȩk, Janusz
2013
Stability of the equation of the $$p$$-Wright affine functions. Zbl 1272.39015
Brzdęk, Janusz
2013
On solutions of the d’Alembert equation on a restricted domain. Zbl 1277.39036
Bahyrycz, Anna; Brzdȩk, Janusz
2013
Stability of additivity and fixed point methods. Zbl 1297.39026
Brzdęk, Janusz
2013
A fixed point theorem and the Hyers-Ulam stability in non-Archimedean spaces. Zbl 1286.47049
Brzdȩk, Janusz; Ciepliński, Krzysztof
2013
Remarks on the stability of Lie homomorphisms. Zbl 1280.39016
Brzdȩk, Janusz; Fošner, Ajda
2013
Hyperstability of the Fréchet equation and a characterization of inner product spaces. Zbl 1287.39017
Bahyrycz, Anna; Brzdȩk, Janusz; Piszczek, Magdalena; Sikorska, Justyna
2013
On approximately $$p$$-Wright affine functions in ultrametric spaces. Zbl 1287.39016
Bahyrycz, Anna; Brzdȩk, Janusz; Piszczek, Magdalena
2013
A fixed point theorem and the Hyers-Ulam stability in Riesz spaces. Zbl 1391.39031
Batko, Bogdan; Brzdęk, Janusz
2013
A note on stability of polynomial equations. Zbl 1277.39037
Brzdȩk, Janusz; Stević, Stevo
2013
Ulam’s type stability 2013. Zbl 1298.00108
Brzdȩk, Janusz; Brillouët-Belluot, Nicole; Ciepliński, Krzysztof; Jung, Soon-Mo; Xu, Bing
2013
Remarks on some systems of two simultaneous functional inequalities. Zbl 1289.39051
Bahyrycz, Anna; Brzdȩk, Janusz
2013
On some recent developments in Ulam’s type stability. Zbl 1259.39019
Brillouët-Belluot, Nicole; Brzdȩk, Janusz; Ciepliński, Krzysztof
2012
Remarks on the Hyers-Ulam stability of some systems of functional equations. Zbl 1311.39039
Brzdęk, Janusz; Ciepliński, Krzysztof
2012
A note on a fixed point theorem and the Hyers-Ulam stability. Zbl 1254.39012
2012
Remarks on stability of the linear functional equation in single variable. Zbl 1248.39022
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2012
A note on stability of the linear functional equations of higher order and fixed points of an operators. Zbl 1282.39026
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2012
A fixed point approach to stability of functional equations. Zbl 1236.39022
Brzdęk, Janusz; Chudziak, Jacek; Páles, Zsolt
2011
A fixed point approach to the stability of functional equations in non-Archimedean metric spaces. Zbl 1237.39022
Brzdȩk, Janusz; Ciepliński, Krzysztof
2011
Selections of set-valued maps satisfying a linear inclusion in a single variable. Zbl 1205.39025
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2011
A note on stability of an operator linear equation of the second order. Zbl 1273.39023
Brzdȩk, Janusz; Jung, Soon-Mo
2011
On approximate solutions of the linear functional equation of higher order. Zbl 1204.65147
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2011
On approximately additive functions. Zbl 1235.39017
Brzdȩk, Janusz
2011
Note on nonstability of the linear functional equation of higher order. Zbl 1231.39012
Brzdek, Janusz; Popa, Dorian; Xu, Bing
2011
Functional equations in mathematical analysis. Dedicated to the memory of Stanisław Marcin Ulam on the occasion of the 100th anniversary of his birth. Zbl 1225.39001
Rassias, Themistocles M.; Brzdek, Janusz
2011
Remarks on stability of linear recurrence of higher order. Zbl 1206.39019
Brzdęk, Janusz; Popa, Dorian; Xu, Bing
2010
On nonstability of the linear recurrence of order one. Zbl 1193.39006
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2010
A conditional exponential functional equation and its stability. Zbl 1187.39032
Brzdȩk, Janusz; Sikorska, Justyna
2010
A note on stability of a linear functional equation of second order connected with the Fibonacci numbers and Lucas sequences. Zbl 1198.39036
Brzdȩk, Janusz; Jung, Soon-Mo
2010
On stability of a family of functional equations. Zbl 1274.39052
Brzdȩk, J.
2010
Hyers-Ulam stability of the delay equation $$y'(t)=\lambda y(t-\tau )$$. Zbl 1210.34108
Jung, Soon-Mo; Brzdȩk, Janusz
2010
A note on stability of the Popoviciu functional equation on restricted domain. Zbl 1221.39035
Brzdęk, Janusz
2010
On solutions of Aczél’s equation and some related equations. Zbl 1215.39023
Brillouët-Belluot, Nicole; Brzdȩk, Janusz; Chudziak, Jacek
2010
On the quotient stability of a family of functional equations. Zbl 1172.39032
Brzdęk, Janusz
2009
On a method of proving the Hyers-Ulam stability of functional equations on restricted domains. Zbl 1175.39014
Brzdȩk, Janusz
2009
On continuous solutions of a class of conditional equations. Zbl 1212.39031
Brillouët-Belluot, Nicole; Brzdȩk, Janusz; Chudziak, Jacek
2009
Hyers-Ulam stability for linear equations of higher orders. Zbl 1174.39012
Brzdȩk, J.; Popa, D.; Xu, B.
2008
A note on stability of the general linear equation. Zbl 1149.39018
Brzdȩk, Janusz; Pietrzyk, Andrzej
2008
On continuous solutions and stability of a conditional Gołąb-Schinzel equation. Zbl 1174.39011
Brillouët-Belluot, Nicole; Brzdȩk, Janusz
2008
On solutions of a generalization of the Reynolds functional equation. Zbl 1163.39013
Brzdȩk, Janusz
2008
Continuity of measurable homomorphisms. Zbl 1157.22001
Brzdȩk, Janusz
2008
The Hyers-Ulam stability of nonlinear recurrences. Zbl 1123.39022
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2007
On approximately microperiodic mappings. Zbl 1164.39012
Brzdȩk, J.
2007
Note on nonstability of the linear recurrence. Zbl 1126.39019
Brzdęk, J.; Popa, D.; Xu, B.
2006
A remark on solutions of a generalization of the addition formulae. Zbl 1094.39020
Brzdȩk, Janusz
2006
Generalizations of some results concerning microperiodic mappings. Zbl 1194.39021
Brzdęk, Janusz
2006
The Gołąb-Schinzel equation and its generalizations. Zbl 1078.39021
Brzdȩk, Janusz
2005
On a conditional Gołab-Schinzel equation. Zbl 1075.39028
Brzdek, Janusz; Mureńko, Anna
2005
Stability of the Cauchy congruence on restricted domain. Zbl 1059.39018
Brzdȩk, Janusz; Tabor, Józef
2004
A generalization of addition formulae. Zbl 1050.39031
Brzdȩk, J.
2003
On the continuous solutions of a generalization of the Gołąb-Schnizel equation. Zbl 1052.39023
Brzdȩk, J.
2003
On continuous solutions of a conditional Gołąb-Schinzel equation. Zbl 1045.39016
Brzdȩk, J.
2001
Bounded solutions of the Gołab-Schinzel equation. Zbl 0961.39011
Brzdȩk, Janusz
2000
...and 21 more Documents
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#### Cited by 386 Authors

 70 Brzdęk, Janusz 27 Jung, Soon-Mo 26 Popa, Dorian 22 Ciepliński, Krzysztof 21 El-Fassi, Iz-Iddine 19 Bahyrycz, Anna 17 Chudziak, Jacek 16 Chung, Jaeyoung 16 Jabłońska, Eliza 16 Rassias, John Michael 14 Park, Choonkil 13 Kabbaj, Samir 12 Almahalebi, Muaadh 12 Onitsuka, Masakazu 11 Zada, Akbar 10 Anderson, Douglas Robert 10 Khodaei, Hamid 10 Olko, Jolanta 10 Ostaszewski, Adam J. 9 El-hady, El-sayed 9 Piszczek, Magdalena 9 Rassias, Themistocles Michael 9 Sikorska, Justyna 9 Sintunavarat, Wutiphol 9 Xu, Bing 9 Xu, Tianzhou 8 Eshaghi Gordji, Madjid 8 Lee, Yang-Hi 8 Leśniak, Zbigniew 7 Bodaghi, Abasalt 7 Choi, Chang-Kwon 7 Rasa, Ioan 6 Aiemsomboon, Laddawan 6 Baias, Alina-Ramona 6 Fošner, Ajda 6 Li, Yongjin 5 Aribou, Youssef 5 Buşe, Constantin 5 Cădariu, Liviu I. 5 Charifi, Ahmed 5 Dragičević, Davor 5 Kumar, D. Ramesh 5 Pitchaimani, M. 5 Saadati, Reza 5 Schwaiger, Jens 5 Wang, Jinrong 4 Bingham, Nicholas Hugh 4 Brillouët-Belluot, Nicole 4 Dăianu, Dan M. 4 Dong, Yunbai 4 Karapınar, Erdal 4 Malejki, Renata 4 O’Regan, Donal 4 Rassias, Michael Th. 4 Roh, Jaiok 4 Stević, Stevo 4 Wang, Zhihua 3 Badora, Roman 3 Batko, Bogdan 3 Bouikhalene, Belaid 3 Chahbi, Abdellatif 3 Cho, Yeol Je 3 de la Sen, Manuel 3 Dimou, Hajira 3 Fechner, Włodzimierz 3 Kaskasem, Prondanai 3 Kim, Gwang Hui 3 Klin-Eam, Chakkrid 3 Kočan, Zdeněk 3 Lee, Bogeun 3 Lee, Jung-Rye 3 Mîndruţă, Cristina 3 Moslehian, Mohammad Sal 3 Nam, Young Woo 3 Oubbi, Lahbib 3 Saejung, Satit 3 Saierli, Olivia 3 Shah, Kamal 3 Szczawińska, Joanna 2 Ali, Wajid 2 Başcı, Yasemin 2 Benzarouala, Chaimaa 2 Bergam, Amal 2 Chang, Ick-Soon 2 Chudziak, Małgorzata 2 Cîmpean, Dalia Sabina 2 Ding, Yali 2 El Ghali, Rachid 2 Elqorachi, Elhoucien 2 Faisal, Shah 2 Gao, Zhuoyan 2 Găvruţă, Paşc 2 Guo, Qiaoling 2 Hayati, Bahman 2 Jin, Yuanfeng 2 Kang, DongSeung 2 Kim, Hark-Mahn 2 Kim, Sang Og 2 Lee, Juri 2 Li, Tongxing ...and 286 more Authors
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#### Cited in 110 Serials

 62 Aequationes Mathematicae 39 Journal of Mathematical Analysis and Applications 27 Journal of Fixed Point Theory and Applications 24 Abstract and Applied Analysis 22 Journal of Function Spaces 21 Results in Mathematics 19 Acta Mathematica Hungarica 18 Bulletin of the Australian Mathematical Society 18 Journal of Inequalities and Applications 14 Applied Mathematics and Computation 13 Applied Mathematics Letters 12 Advances in Difference Equations 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Journal of Nonlinear Science and Applications 6 Demonstratio Mathematica 6 Discrete Dynamics in Nature and Society 6 Fixed Point Theory and Applications 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Journal of Linear and Topological Algebra 5 Proyecciones 4 Indagationes Mathematicae. New Series 4 Mediterranean Journal of Mathematics 4 Symmetry 3 Computers & Mathematics with Applications 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Hacettepe Journal of Mathematics and Statistics 3 Journal of Function Spaces and Applications 3 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Fuzzy Sets and Systems 2 Journal of Approximation Theory 2 Semigroup Forum 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Expositiones Mathematicae 2 The Journal of Analysis 2 Journal of Mathematical Sciences (New York) 2 Bulletin des Sciences Mathématiques 2 Journal of Difference Equations and Applications 2 Journal of Applied Analysis 2 Analysis (München) 2 Communications of the Korean Mathematical Society 2 Journal of Mathematical Inequalities 2 Banach Journal of Mathematical Analysis 2 Asian-European Journal of Mathematics 2 Advances in Mathematical Physics 2 Afrika Matematika 2 Palestine Journal of Mathematics 2 Journal of Classical Analysis 2 Journal of Mathematics 2 Mathematics 2 International Journal of Applied and Computational Mathematics 2 Korean Journal of Mathematics 1 Advances in Applied Probability 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Acta Mathematica Vietnamica 1 Archiv der Mathematik 1 Functiones et Approximatio. Commentarii Mathematici 1 Fundamenta Mathematicae 1 Journal of Computational and Applied Mathematics 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Synthese 1 Bulletin of the Korean Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Journal of Global Optimization 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Russian Journal of Mathematical Physics 1 Journal of the Egyptian Mathematical Society 1 Random Operators and Stochastic Equations 1 Arab Journal of Mathematical Sciences 1 Honam Mathematical Journal 1 Soft Computing 1 Acta Mathematica Sinica. English Series 1 Annales Mathematicae Silesianae 1 Qualitative Theory of Dynamical Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Nonlinear Functional Analysis and Applications 1 Kragujevac Journal of Mathematics 1 Applied Mathematics E-Notes 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Central European Journal of Mathematics 1 Quantum Information Processing 1 Boundary Value Problems 1 Scientia. Series A: Mathematical Sciences. New Series 1 Complex Analysis and Operator Theory 1 Tbilisi Mathematical Journal 1 Journal of Logic and Analysis 1 Acta Universitatis Sapientiae. Mathematica 1 Annals of Functional Analysis 1 Journal of Applied Mathematics & Informatics 1 Bulletin of Mathematical Sciences ...and 10 more Serials
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#### Cited in 40 Fields

 400 Difference and functional equations (39-XX) 105 Operator theory (47-XX) 52 Ordinary differential equations (34-XX) 48 Functional analysis (46-XX) 40 General topology (54-XX) 24 Real functions (26-XX) 16 Numerical analysis (65-XX) 11 Partial differential equations (35-XX) 11 Approximations and expansions (41-XX) 11 Integral equations (45-XX) 6 Measure and integration (28-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Probability theory and stochastic processes (60-XX) 5 Associative rings and algebras (16-XX) 5 Topological groups, Lie groups (22-XX) 4 Number theory (11-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Nonassociative rings and algebras (17-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Convex and discrete geometry (52-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)