Chang, Ick-Soon; Kim, Hark-Mahn Almost quadratic Lie \(\ast\)-derivations on convex modular \(\ast\)-algebras. (English) Zbl 07797385 Nonlinear Funct. Anal. Appl. 28, No. 4, 887-902 (2023). MSC: 39B52 39B82 39B72 16W25 PDFBibTeX XMLCite \textit{I.-S. Chang} and \textit{H.-M. Kim}, Nonlinear Funct. Anal. Appl. 28, No. 4, 887--902 (2023; Zbl 07797385) Full Text: Link
Kim, Hark-Mahn; Hong, Young Soon Additional stability results for quartic Lie \(\ast\)-derivations. (English) Zbl 1429.39018 Nonlinear Funct. Anal. Appl. 24, No. 3, 583-593 (2019). Reviewer: Maryam Amyari (Mashhad) MSC: 39B52 39B72 16W25 39B82 PDFBibTeX XMLCite \textit{H.-M. Kim} and \textit{Y. S. Hong}, Nonlinear Funct. Anal. Appl. 24, No. 3, 583--593 (2019; Zbl 1429.39018) Full Text: Link
Kim, Hark-Mahn; Shin, Hwan-Yong Approximate cubic Lie derivations on \(\rho\)-complete convex modular algebras. (English) Zbl 1400.39031 J. Funct. Spaces 2018, Article ID 3613178, 8 p. (2018). MSC: 39B82 39B52 16W25 17B50 PDFBibTeX XMLCite \textit{H.-M. Kim} and \textit{H.-Y. Shin}, J. Funct. Spaces 2018, Article ID 3613178, 8 p. (2018; Zbl 1400.39031) Full Text: DOI
Kim, Hark-Mahn; Shin, Hwan-Yong Approximation of almost Sahoo-Riedel’s points by Sahoo-Riedel’s points. (English) Zbl 1351.39015 Aequationes Math. 90, No. 4, 809-815 (2016). Reviewer: Piotr Sworowski (Bydgoszcz) MSC: 39B82 26A24 39B22 PDFBibTeX XMLCite \textit{H.-M. Kim} and \textit{H.-Y. Shin}, Aequationes Math. 90, No. 4, 809--815 (2016; Zbl 1351.39015) Full Text: DOI
Kim, Hark-Mahn; Kim, Gwang Hui; Han, Mi Hyun Superstability of approximate d’Alembert harmonic functions. (English) Zbl 1275.39018 J. Inequal. Appl. 2011, Paper No. 118, 7 p. (2011). MSC: 39B82 39B32 39B52 31A05 46J15 PDFBibTeX XMLCite \textit{H.-M. Kim} et al., J. Inequal. Appl. 2011, Paper No. 118, 7 p. (2011; Zbl 1275.39018) Full Text: DOI
Rassias, John Michael; Jun, Kil Woung; Kim, Hark-Mahn Approximate \((m,n)\)-Cauchy-Jensen additive mappings in \(C^\ast\)-algebras. (English) Zbl 1275.39021 Acta Math. Sin., Engl. Ser. 27, No. 10, 1907-1922 (2011). Reviewer: Maryam Amyari (Mashhad) MSC: 39B82 46L05 39B52 46L57 PDFBibTeX XMLCite \textit{J. M. Rassias} et al., Acta Math. Sin., Engl. Ser. 27, No. 10, 1907--1922 (2011; Zbl 1275.39021) Full Text: DOI
Kim, Hark-Mahn; Lee, Sang-Baek; Son, Eunyoung On the generalized stability and asymptotic behavior of quadratic mappings. (English) Zbl 1175.39020 Aust. J. Math. Anal. Appl. 6, No. 1, Article 9, 12 p. (2009). MSC: 39B82 39B52 PDFBibTeX XMLCite \textit{H.-M. Kim} et al., Aust. J. Math. Anal. Appl. 6, No. 1, Article 9, 12 p. (2009; Zbl 1175.39020) Full Text: Link
Kim, Hark-Mahn; Kang, Sheon-Young; Chang, Ick-Soon On functional inequalities originating from module Jordan left derivations. (English) Zbl 1146.39043 J. Inequal. Appl. 2008, Article ID 278505, 9 p. (2008). MSC: 39B82 16W25 39B62 39B52 47B47 PDFBibTeX XMLCite \textit{H.-M. Kim} et al., J. Inequal. Appl. 2008, Article ID 278505, 9 p. (2008; Zbl 1146.39043) Full Text: DOI EuDML
Cho, Young-Sun; Kim, Hark-Mahn Stability of functional inequalities with Cauchy-Jensen additive mappings. (English) Zbl 1149.39020 Abstr. Appl. Anal. 2007, Article ID 89180, 13 p. (2007). Reviewer: Maryam Amyari (Mashhad) MSC: 39B82 39B72 39B52 PDFBibTeX XMLCite \textit{Y.-S. Cho} and \textit{H.-M. Kim}, Abstr. Appl. Anal. 2007, Article ID 89180, 13 p. (2007; Zbl 1149.39020) Full Text: DOI EuDML
Jun, Kil-Woung; Kim, Hark-Mahn; Rassias, John Michael Extended Hyers-Ulam stability for Cauchy-Jensen mappings. (English) Zbl 1135.39013 J. Difference Equ. Appl. 13, No. 12, 1139-1153 (2007). Reviewer: Maryam Amyari (Mashhad) MSC: 39B82 46L05 39B52 PDFBibTeX XMLCite \textit{K.-W. Jun} et al., J. Difference Equ. Appl. 13, No. 12, 1139--1153 (2007; Zbl 1135.39013) Full Text: DOI
Kim, Hark-Mahn Stability for generalized Jensen functional equations and isomorphisms between \(C^*\)-algebras. (English) Zbl 1127.39054 Bull. Belg. Math. Soc. - Simon Stevin 14, No. 1, 1-14 (2007). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 39B82 46L05 47B48 39B52 PDFBibTeX XMLCite \textit{H.-M. Kim}, Bull. Belg. Math. Soc. - Simon Stevin 14, No. 1, 1--14 (2007; Zbl 1127.39054) Full Text: Euclid
Jun, Kil-Woung; Kim, Hark-Mahn On the stability of Euler-Lagrange type cubic mappings in quasi-Banach spaces. (English) Zbl 1117.39017 J. Math. Anal. Appl. 332, No. 2, 1335-1350 (2007). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 39B82 39B52 46B03 46B20 39B62 PDFBibTeX XMLCite \textit{K.-W. Jun} and \textit{H.-M. Kim}, J. Math. Anal. Appl. 332, No. 2, 1335--1350 (2007; Zbl 1117.39017) Full Text: DOI
Jun, Kil-Woung; Kim, Hark-Mahn Stability problem of Ulam for generalized forms of Cauchy functional equation. (English) Zbl 1082.39023 J. Math. Anal. Appl. 312, No. 2, 535-547 (2005). Reviewer: Mohammad Sal Moslehian (Leeds) MSC: 39B82 39B52 PDFBibTeX XMLCite \textit{K.-W. Jun} and \textit{H.-M. Kim}, J. Math. Anal. Appl. 312, No. 2, 535--547 (2005; Zbl 1082.39023) Full Text: DOI
Jun, Kil-Woung; Kim, Hark-Mahn On the generalized \(A\)-quadratic mappings associated with the variance of a discrete-type distribution. (English) Zbl 1081.39027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 6, 975-987 (2005). Reviewer: Soon-Mo Jung (Chochiwon) MSC: 39B82 39B32 PDFBibTeX XMLCite \textit{K.-W. Jun} and \textit{H.-M. Kim}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 6, 975--987 (2005; Zbl 1081.39027) Full Text: DOI
Jun, Kil-Woung; Kim, Hark-Mahn On the Hyers-Ulam-Rassias stability of a general cubic functional equation. (English) Zbl 1032.39015 Math. Inequal. Appl. 6, No. 2, 289-302 (2003). Reviewer: Szymon Wasowicz (Bielsko-Biała) MSC: 39B82 39B52 39B72 PDFBibTeX XMLCite \textit{K.-W. Jun} and \textit{H.-M. Kim}, Math. Inequal. Appl. 6, No. 2, 289--302 (2003; Zbl 1032.39015) Full Text: DOI
Chang, Ick-Soon; Kim, Hark-Mahn On the Hyers-Ulam stability of quadratic functional equations. (English) Zbl 0998.39019 JIPAM, J. Inequal. Pure Appl. Math. 3, No. 3, Paper No. 33, 12 p. (2002). Reviewer: Szymon Wasowicz (Bielsko-Biała) MSC: 39B82 39B52 39B72 PDFBibTeX XMLCite \textit{I.-S. Chang} and \textit{H.-M. Kim}, JIPAM, J. Inequal. Pure Appl. Math. 3, No. 3, Paper No. 33, 12 p. (2002; Zbl 0998.39019) Full Text: EuDML