HKHark-Mahn Kim
Hark-Mahn Kim
*This is an algorithmically generated author record based on publicly available information.
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Research Interests
Hark-Mahn Kim has a total of 24 co-authors. Here are the top co-authors by number of shared publications:
- Ick-Soon Chang
Department of Mathematics, Chungnam National University, Daejeon 34134, Republic of Korea
9 shared publications - Hwan-Yong Shin
Department of Mathematics, Chungnam National University, 99 Daehangno, Yuseong-gu, Daejeon 34134, Korea
3 shared publications - John Michael Rassias
National and Capodistrian University of Athens
2 shared publications - Kil-Woung Jun
Chungnam National University
2 shared publications - Kil-Woung Jun
Chungnam National University
2 shared publications - Badrkhan Alizadeh
Technical and Vocational Faculty of Tabriz Technical and Vocational University of Iran P. O. Box 51745-135
1 shared publication
Latest Publications
- Open Access
- 20 July 2026
- Published by MDPI AG in Mathematics
- Vol. 14 (14) , 2638
Approximate Quadratic ∗-Derivations in ρ-Complete Convex n-Modular ∗-Algebras
In this paper, we introduce the following quadratic functional equation: which is derived from a geometric median identity in the Euclidean plane. Then, we find a general solution to the quadratic functional equation and prove the stability results of the quadratic ∗-derivations in -complete convex n-modular ∗-algebras.- 20 July 2026
- Published by MDPI AG in Mathematics
- Vol. 14 (14) , 2638
Open AccessApproximate Quadratic ∗-Derivations in ρ-Complete Convex n-Modular ∗-Algebras
In this paper, we introduce the following quadratic functional equation: which is derived from a geometric median identity in the Euclidean plane. Then, we find a general solution to the quadratic functional equation and prove the stability results of the quadratic ∗-derivations in -complete convex n-modular ∗-algebras. - Open Access
- 1 January 2025
- Published by Walter de Gruyter GmbH in Open Mathematics
- Vol. 23 (1)
On superstability of derivations in Banach algebras
In this article, we consider some types of derivations in Banach algebras. In detail, we investigate the question of whether the superstability can be achieved under some conditions for some types of derivations, such as Jordan derivations, generalized Lie 2-derivations, and generalized Lie derivations.
- 1 January 2025
- Published by Walter de Gruyter GmbH in Open Mathematics
- Vol. 23 (1)
Open AccessOn superstability of derivations in Banach algebras
In this article, we consider some types of derivations in Banach algebras. In detail, we investigate the question of whether the superstability can be achieved under some conditions for some types of derivations, such as Jordan derivations, generalized Lie 2-derivations, and generalized Lie derivations.
- Open Access
- 14 December 2022
- Published by MDPI AG in Mathematics
- Vol. 10 (24) , 4754
Almost Generalized Derivation on Banach Algebras
We take into consideration generalized derivations. First, we study the stability of generalized derivations on Banach algebras under consideration. Then we prove some theorems involving approximate generalized derivations on Banach algebras. These results can be applied to -algebras.- 14 December 2022
- Published by MDPI AG in Mathematics
- Vol. 10 (24) , 4754
Open AccessAlmost Generalized Derivation on Banach Algebras
We take into consideration generalized derivations. First, we study the stability of generalized derivations on Banach algebras under consideration. Then we prove some theorems involving approximate generalized derivations on Banach algebras. These results can be applied to -algebras. - 24 August 2022
- Published by International Scientific Research Publications in Journal of Mathematics and Computer Science
- Vol. 29 (02) , 106-117
Approximation of almost quadratic mappings via modular functional
In this paper, we present generalized stability results of refined quadratic functional equation \[ f(ax-by)=abf(x-y)+a(a-b)f(x)+b(b-a)f(y), \] for any fixed nonzero integer numbers \(a,b\in\mathbb{Z}\) with \(a\neq b\) in modular spaces. As results, we generalize stability results of a quadratic functional equation in [{K.-W. Jun, H.-M. Kim, J. Son, Functional Equations in Mathematical Analysis, \(\bf{2012}\) (2012), 153--164}].- 24 August 2022
- Published by International Scientific Research Publications in Journal of Mathematics and Computer Science
- Vol. 29 (02) , 106-117
Approximation of almost quadratic mappings via modular functional
In this paper, we present generalized stability results of refined quadratic functional equation \[ f(ax-by)=abf(x-y)+a(a-b)f(x)+b(b-a)f(y), \] for any fixed nonzero integer numbers \(a,b\in\mathbb{Z}\) with \(a\neq b\) in modular spaces. As results, we generalize stability results of a quadratic functional equation in [{K.-W. Jun, H.-M. Kim, J. Son, Functional Equations in Mathematical Analysis, \(\bf{2012}\) (2012), 153--164}].- 12 January 2022
- Published by Springer Nature in Results in Mathematics
- Vol. 77 (2) , 1-8
Approximate Additive Mappings of Derivation-Type on Banach $*$-Algebras- 12 January 2022
- Published by Springer Nature in Results in Mathematics
- Vol. 77 (2) , 1-8
Approximate Additive Mappings of Derivation-Type on Banach $*$-Algebras- Open Access
- 1 January 2021
- Vol. 12 (1) , 1153-1165
Asymptotic behavior of generalized quadratic mappings
- 1 January 2021
- Vol. 12 (1) , 1153-1165
Open AccessAsymptotic behavior of generalized quadratic mappings
- Open Access
- 1 December 2020
- Vol. 11 (2) , 305-316
Approximate Quartic Lie *-Derivations with perturbing terms
- 1 December 2020
- Vol. 11 (2) , 305-316
Open AccessApproximate Quartic Lie *-Derivations with perturbing terms
- Open Access
- 21 September 2020
- Published by MDPI AG in Mathematics
- Vol. 8 (9) , 1630
Ulam Type Stability of -Quadratic Mappings in Fuzzy Modular ∗-AlgebrasIn this paper, we find the solution of the following quadratic functional equation , which is derived from the gravity of the n distinct vectors in an inner product space, and prove that the stability results of the -quadratic mappings in -complete convex fuzzy modular ∗-algebras without using lower semicontinuity and -homogeneous property.- 21 September 2020
- Published by MDPI AG in Mathematics
- Vol. 8 (9) , 1630
Open AccessUlam Type Stability of -Quadratic Mappings in Fuzzy Modular ∗-AlgebrasIn this paper, we find the solution of the following quadratic functional equation , which is derived from the gravity of the n distinct vectors in an inner product space, and prove that the stability results of the -quadratic mappings in -complete convex fuzzy modular ∗-algebras without using lower semicontinuity and -homogeneous property. - Open Access
- 2 May 2019
- Published by Wiley in Journal of Function Spaces
- Vol. 2019, 1-7
Asymptotic Behavior of Almost Quartic ⁎-Derivations on Banach ⁎-Algebras
The purpose of this paper is to obtain the stability theorems of quartic ⁎-derivations associated with the quartic functional equation on Banach ⁎-algebras.- 2 May 2019
- Published by Wiley in Journal of Function Spaces
- Vol. 2019, 1-7
Open AccessAsymptotic Behavior of Almost Quartic ⁎-Derivations on Banach ⁎-Algebras
The purpose of this paper is to obtain the stability theorems of quartic ⁎-derivations associated with the quartic functional equation on Banach ⁎-algebras. - 10 December 2015
- Published by Springer Nature in Aequationes mathematicae
- Vol. 90 (4) , 809-815
Approximation of almost Sahoo–Riedel’s points by Sahoo–Riedel’s points
- 10 December 2015
- Published by Springer Nature in Aequationes mathematicae
- Vol. 90 (4) , 809-815
Approximation of almost Sahoo–Riedel’s points by Sahoo–Riedel’s points