TY - JOUR AU - Aoki, T. PY - 1950 DA - 1950// TI - On the stability of the linear transformation in Banach spaces JO - J. Math. Soc. Jpn. VL - 2 UR - https://doi.org/10.2969/jmsj/00210064 DO - 10.2969/jmsj/00210064 ID - Aoki1950 ER - TY - JOUR AU - Bahyrycz, A. AU - Ciepliński, K. AU - Olko, J. PY - 2015 DA - 2015// TI - On an equation characterizing multi-additive-quadratic mappings and its Hyers–Ulam stability JO - Appl. Math. Comput. VL - 265 ID - Bahyrycz2015 ER - TY - JOUR AU - Bodaghi, A. PY - 2013 DA - 2013// TI - Cubic derivations on Banach algebras JO - Acta Math. Vietnam. VL - 38 UR - https://doi.org/10.1007/s40306-013-0031-2 DO - 10.1007/s40306-013-0031-2 ID - Bodaghi2013 ER - TY - JOUR AU - Bodaghi, A. PY - 2013 DA - 2013// TI - Ulam stability of a cubic functional equation in various spaces JO - Mathematica VL - 55 ID - Bodaghi2013 ER - TY - JOUR AU - Bodaghi, A. PY - 2016 DA - 2016// TI - Intuitionistic fuzzy stability of the generalized forms of cubic and quartic functional equations JO - J. Intell. Fuzzy Syst. VL - 30 UR - https://doi.org/10.3233/IFS-152001 DO - 10.3233/IFS-152001 ID - Bodaghi2016 ER - TY - JOUR AU - Bodaghi, A. AU - Alias, I. A. AU - Ghahramani, M. H. PY - 2011 DA - 2011// TI - Approximately cubic functional equations and cubic multipliers JO - J. Inequal. Appl. VL - 2011 UR - https://doi.org/10.1186/1029-242X-2011-53 DO - 10.1186/1029-242X-2011-53 ID - Bodaghi2011 ER - TY - JOUR AU - Bodaghi, A. AU - Moosavi, S. M. AU - Rahimi, H. PY - 2013 DA - 2013// TI - The generalized cubic functional equation and the stability of cubic Jordan ∗-derivations JO - Ann. Univ. Ferrara VL - 59 UR - https://doi.org/10.1007/s11565-013-0185-9 DO - 10.1007/s11565-013-0185-9 ID - Bodaghi2013 ER - TY - JOUR AU - Bodaghi, A. AU - Park, C. AU - Mewomo, O. T. PY - 2019 DA - 2019// TI - Multiquartic functional equations JO - Adv. Differ. Equ. VL - 2019 UR - https://doi.org/10.1186/s13662-019-2255-5 DO - 10.1186/s13662-019-2255-5 ID - Bodaghi2019 ER - TY - STD TI - Bodaghi, A., Shojaee, B.: On an equation characterizing multi-cubic mappings and its stability and hyperstability. Fixed Point Theory. To appear. arXiv:1907.09378v2 UR - http://arxiv.org/abs/arXiv:1907.09378v2 ID - ref9 ER - TY - JOUR AU - Ciepliński, K. PY - 2010 DA - 2010// TI - Generalized stability of multi-additive mappings JO - Appl. Math. Lett. VL - 23 UR - https://doi.org/10.1016/j.aml.2010.06.015 DO - 10.1016/j.aml.2010.06.015 ID - Ciepliński2010 ER - TY - JOUR AU - Ciepliński, K. PY - 2011 DA - 2011// TI - On the generalized Hyers–Ulam stability of multi-quadratic mappings JO - Comput. Math. Appl. VL - 62 UR - https://doi.org/10.1016/j.camwa.2011.08.057 DO - 10.1016/j.camwa.2011.08.057 ID - Ciepliński2011 ER - TY - JOUR AU - Eshaghi Gordji, M. AU - Bodaghi, A. PY - 2010 DA - 2010// TI - On the Hyers–Ulam–Rassias stability problem for quadratic functional equations JO - East J. Approx. VL - 16 ID - Eshaghi Gordji2010 ER - TY - JOUR AU - Eshaghi Gordji, M. AU - Bodaghi, A. AU - Park, C. PY - 2011 DA - 2011// TI - A fixed point approach to the stability of double Jordan centralizers and Jordan multipliers on Banach algebras JO - UPB Sci. Bull., Ser. A VL - 73 ID - Eshaghi Gordji2011 ER - TY - JOUR AU - Falihi, S. AU - Shojaee, B. AU - Bodaghi, A. AU - Zivari-Kazempour, A. PY - 2019 DA - 2019// TI - Approximation on the mixed type additive-quadratic-sextic functional equation JO - UPB Sci. Bull., Ser. A VL - 81 ID - Falihi2019 ER - TY - JOUR AU - Găvruţa, P. PY - 1994 DA - 1994// TI - A generalization of the Hyers–Ulam–Rassias stability of approximately additive mappings JO - J. Math. Anal. Appl. VL - 184 UR - https://doi.org/10.1006/jmaa.1994.1211 DO - 10.1006/jmaa.1994.1211 ID - Găvruţa1994 ER - TY - JOUR AU - Hyers, D. H. PY - 1941 DA - 1941// TI - On the stability of the linear functional equation JO - Proc. Natl. Acad. Sci. USA VL - 27 UR - https://doi.org/10.1073/pnas.27.4.222 DO - 10.1073/pnas.27.4.222 ID - Hyers1941 ER - TY - JOUR AU - Jun, K. W. AU - Kim, H. M. PY - 2002 DA - 2002// TI - The generalized Hyers–Ulam–Russias stability of a cubic functional equation JO - J. Math. Anal. Appl. VL - 274 UR - https://doi.org/10.1016/S0022-247X(02)00415-8 DO - 10.1016/S0022-247X(02)00415-8 ID - Jun2002 ER - TY - JOUR AU - Jun, K. W. AU - Kim, H. M. PY - 2003 DA - 2003// TI - On the Hyers–Ulam–Rassias stability of a general cubic functional equation JO - Math. Inequal. Appl. VL - 6 ID - Jun2003 ER - TY - JOUR AU - Khamsi, M. A. PY - 2008 DA - 2008// TI - Quasicontraction mappings in modular spaces without Δ2$\Delta _{2}$-condition JO - Fixed Point Theory Appl. VL - 2008 UR - https://doi.org/10.1155/2008/916187 DO - 10.1155/2008/916187 ID - Khamsi2008 ER - TY - JOUR AU - Kim, H. -. M. AU - Hong, Y. S. PY - 2017 DA - 2017// TI - Approximate quadratic mappings in modular spaces JO - Int. J. Pure Appl. Math. VL - 116 ID - Kim2017 ER - TY - JOUR AU - Kim, H. M. AU - Shin, H. Y. PY - 2017 DA - 2017// TI - Refined stability of additive and quadratic functional equations in modular spaces JO - J. Inequal. Appl. VL - 2017 UR - https://doi.org/10.1186/s13660-017-1422-z DO - 10.1186/s13660-017-1422-z ID - Kim2017 ER - TY - JOUR AU - Krbec, M. PY - 1982 DA - 1982// TI - Modular interpolation spaces JO - Z. Anal. Anwend. VL - 1 UR - https://doi.org/10.4171/ZAA/3 DO - 10.4171/ZAA/3 ID - Krbec1982 ER - TY - BOOK AU - Kuczma, M. PY - 2009 DA - 2009// TI - An Introduction to the Theory of Functional Equations and Inequalities. Cauchy’s Equation and Jensen’s Inequality PB - Birkhäuser CY - Basel UR - https://doi.org/10.1007/978-3-7643-8749-5 DO - 10.1007/978-3-7643-8749-5 ID - Kuczma2009 ER - TY - STD TI - Luxemburg, W.A.J.: Banach function spaces. PhD Thesis, Delft University of Technology, Delft, The Netherlands (1955) ID - ref24 ER - TY - JOUR AU - Maghsoudi, M. AU - Bodaghi, A. AU - Niazi Motlagh, A. AU - Karami, M. PY - 2019 DA - 2019// TI - Almost additive-quadratic-cubic mappings in modular spaces JO - Rev. Unión Mat. Argent. VL - 60 UR - https://doi.org/10.33044/revuma.v60n2a05 DO - 10.33044/revuma.v60n2a05 ID - Maghsoudi2019 ER - TY - BOOK AU - Maligranda, L. PY - 1989 DA - 1989// TI - Orlicz Spaces and Interpolation PB - Universidade Estadual de Campinas, Departamento de Matematica CY - Campinas ID - Maligranda1989 ER - TY - JOUR AU - Mazur, S. AU - Orlicz, W. PY - 1958 DA - 1958// TI - On some classes of linear spaces JO - Stud. Math. VL - 17 UR - https://doi.org/10.4064/sm-17-1-97-119 DO - 10.4064/sm-17-1-97-119 ID - Mazur1958 ER - TY - JOUR AU - Mohiuddine, S. A. AU - Cancan, M. AU - Sevli, H. PY - 2011 DA - 2011// TI - Intuitionistic fuzzy stability of a Jensen functional equation via fixed point technique JO - Math. Comput. Model. VL - 54 UR - https://doi.org/10.1016/j.mcm.2011.05.049 DO - 10.1016/j.mcm.2011.05.049 ID - Mohiuddine2011 ER - TY - JOUR AU - Mohiuddine, S. A. AU - Rassias, J. M. AU - Alotaibi, A. PY - 2016 DA - 2016// TI - Solution of the Ulam stability problem for Euler–Lagrange–Jensen k-cubic mappings JO - Filomat VL - 30 UR - https://doi.org/10.2298/FIL1602305M DO - 10.2298/FIL1602305M ID - Mohiuddine2016 ER - TY - JOUR AU - Mohiuddine, S. A. AU - Rassias, J. M. AU - Alotaibi, A. PY - 2017 DA - 2017// TI - Solution of the Ulam stability problem for Euler–Lagrange–Jensen k-quintic mappings JO - Math. Methods Appl. Sci. VL - 40 UR - https://doi.org/10.1002/mma.4217 DO - 10.1002/mma.4217 ID - Mohiuddine2017 ER - TY - JOUR AU - Mohiuddine, S. A. AU - Sevli, H. PY - 2011 DA - 2011// TI - Stability of Pexiderized quadratic functional equation in intuitionistic fuzzy normed space JO - J. Comput. Appl. Math. VL - 235 UR - https://doi.org/10.1016/j.cam.2010.10.010 DO - 10.1016/j.cam.2010.10.010 ID - Mohiuddine2011 ER - TY - JOUR AU - Mursaleen, M. AU - Ansari, K. J. PY - 2015 DA - 2015// TI - On the stability of some positive linear operators from approximation theory JO - Bull. Math. Sci. VL - 5 UR - https://doi.org/10.1007/s13373-015-0064-z DO - 10.1007/s13373-015-0064-z ID - Mursaleen2015 ER - TY - JOUR AU - Mursaleen, M. AU - Ansari, K. J. PY - 2016 DA - 2016// TI - The stability of a generalized affine functional equation in fuzzy normed spaces JO - Publ. Inst. Math. VL - 100 UR - https://doi.org/10.2298/PIM1614163M DO - 10.2298/PIM1614163M ID - Mursaleen2016 ER - TY - JOUR AU - Mursaleen, M. AU - Ansari, K. J. AU - Khan, A. PY - 2015 DA - 2015// TI - Stability of some positive linear operators on compact disk JO - Acta Math. Sci. VL - 35 UR - https://doi.org/10.1016/S0252-9602(15)30070-9 DO - 10.1016/S0252-9602(15)30070-9 ID - Mursaleen2015 ER - TY - JOUR AU - Mursaleen, M. AU - Mohiuddine, S. A. PY - 2009 DA - 2009// TI - On stability of a cubic functional equation in intuitionistic fuzzy normed spaces JO - Chaos Solitons Fractals VL - 42 UR - https://doi.org/10.1016/j.chaos.2009.04.041 DO - 10.1016/j.chaos.2009.04.041 ID - Mursaleen2009 ER - TY - JOUR AU - Mursaleen, M. AU - Mohiuddine, S. A. AU - Ansari, K. J. PY - 2017 DA - 2017// TI - On the stability of fuzzy set-valued functional equations JO - Cogent Math. VL - 4 UR - https://doi.org/10.1080/23311835.2017.1281557 DO - 10.1080/23311835.2017.1281557 ID - Mursaleen2017 ER - TY - JOUR AU - Musielak, J. AU - Orlicz, W. PY - 1959 DA - 1959// TI - On modular spaces JO - Stud. Math. VL - 18 UR - https://doi.org/10.4064/sm-18-1-49-65 DO - 10.4064/sm-18-1-49-65 ID - Musielak1959 ER - TY - JOUR AU - Musielak, J. AU - Orlicz, W. PY - 1959 DA - 1959// TI - Some remarks on modular spaces JO - Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. VL - 7 ID - Musielak1959 ER - TY - BOOK AU - Nakano, H. PY - 1950 DA - 1950// TI - Modulared Semi-Ordered Linear Spaces PB - Maruzen CY - Tokyo ID - Nakano1950 ER - TY - BOOK AU - Orlicz, W. PY - 1988 DA - 1988// TI - Collected Papers, Vols. I, II PB - PWN CY - Warszawa ID - Orlicz1988 ER - TY - JOUR AU - Park, C. AU - Bodaghi, A. AU - Kim, S. O. PY - 2018 DA - 2018// TI - A fixed point approach to stability of additive mappings in modular spaces without Δ2$\Delta _{2}$-conditions JO - J. Comput. Anal. Appl. VL - 24 ID - Park2018 ER - TY - JOUR AU - Park, C. AU - Rasias, J. M. AU - Bodaghi, A. AU - Kim, S. O. PY - 2019 DA - 2019// TI - Approximate homomorphisms from ternary semigroups to modular spaces JO - Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. VL - 113 UR - https://doi.org/10.1007/s13398-018-0608-7 DO - 10.1007/s13398-018-0608-7 ID - Park2019 ER - TY - JOUR AU - Rassias, J. M. PY - 2001 DA - 2001// TI - Solution of the Ulam stability problem for cubic mappings JO - Glas. Mat. Ser. III VL - 36 ID - Rassias2001 ER - TY - JOUR AU - Rassias, T. M. PY - 1978 DA - 1978// TI - On the stability of the linear mapping in Banach space JO - Proc. Am. Math. Soc. VL - 72 UR - https://doi.org/10.1090/S0002-9939-1978-0507327-1 DO - 10.1090/S0002-9939-1978-0507327-1 ID - Rassias1978 ER - TY - JOUR AU - Sadeghi, G. PY - 2014 DA - 2014// TI - A fixed point approach to stability of functional equations in modular spaces JO - Bull. Malays. Math. Sci. Soc. VL - 37 ID - Sadeghi2014 ER - TY - JOUR AU - Salimi, S. AU - Bodaghi, A. PY - 2020 DA - 2020// TI - A fixed point application for the stability and hyperstability of multi-Jensen-quadratic mappings JO - J. Fixed Point Theory Appl. VL - 22 UR - https://doi.org/10.1007/s11784-019-0738-3 DO - 10.1007/s11784-019-0738-3 ID - Salimi2020 ER - TY - BOOK AU - Ulam, S. M. PY - 1964 DA - 1964// TI - Problems in Modern Mathematics PB - Wiley CY - New York ID - Ulam1964 ER - TY - JOUR AU - Wongkum, K. AU - Chaipunya, P. AU - Kumam, P. PY - 2015 DA - 2015// TI - On the generalized Ulam–Hyers–Rassias stability of quadratic mappings in modular spaces without Δ2$\Delta _{2}$-conditions JO - J. Funct. Spaces VL - 2015 ID - Wongkum2015 ER - TY - JOUR AU - Yang, S. Y. AU - Bodaghi, A. AU - Mohd Atan, K. A. PY - 2012 DA - 2012// TI - Approximate cubic ∗-derivations on Banach ∗-algebras JO - Abstr. Appl. Anal. VL - 2012 UR - https://doi.org/10.1155/2012/684179 DO - 10.1155/2012/684179 ID - Yang2012 ER - TY - JOUR AU - Zhao, X. AU - Yang, X. AU - Pang, C. -. T. PY - 2013 DA - 2013// TI - Solution and stability of the multiquadratic functional equation JO - Abstr. Appl. Anal. VL - 2013 ID - Zhao2013 ER -