Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Kandhasamy Tamilvanan"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-13 (2024)
Abstract In this article, with simple and short proofs without applying fixed point theorems, some hyperstability results corresponding to the functional equations of Cauchy and Jensen are presented in 2-normed spaces. We also obtain some results on
Externí odkaz:
https://doaj.org/article/8841cc0cdbb44b9897dc652dc6a9002b
Publikováno v:
Mathematics, Vol 11, Iss 19, p 4077 (2023)
The aim of this study is to prove the existence and uniqueness of fixed point and common fixed point theorems for self-mappings in modular ultrametric spaces. These theorems are proved under varying contractive circumstances and without the property
Externí odkaz:
https://doaj.org/article/13791311aa5b405faddf935a5450ce6a
Publikováno v:
AIMS Mathematics, Vol 6, Iss 1, Pp 908-924 (2021)
The aim of this work is to introduce a new mixed type quadratic-additive functional equation, to obtain its general solution and to investigate Ulam stability by using Hyers method in random normed spaces.
Externí odkaz:
https://doaj.org/article/639b9f0eade94cdca4f661ca42e67dfc
Autor:
Arunachalam Umamaheswaran, Ramalingam Udhayakumar, Chelliah Selvaraj, Kandhasamy Tamilvanan, Masho Jima Kabeto
Publikováno v:
Journal of Mathematics, Vol 2022 (2022)
In this paper, we investigate the notions of X⊥-projective, X-injective, and X-flat modules and give some characterizations of these modules, where X is a class of left modules. We prove that the class of all X⊥-projective modules is Kaplansky. F
Externí odkaz:
https://doaj.org/article/310ccf8e8d6a4a439076c7b082e4e468
Publikováno v:
Journal of Function Spaces, Vol 2022 (2022)
In this paper, we introduce the λ-quadratic functional equation with three variables and obtain its general solution. The main aim of this work is to examine the Ulam-Hyers stability of this functional equation in non-Archimedean Banach space by usi
Externí odkaz:
https://doaj.org/article/1dd515d1419a44ee8e37cc5bf87344da
Publikováno v:
Journal of Mathematics, Vol 2022 (2022)
Roll motion is one of the key motions related to a vessel’s dynamic stability. It is essential for the dynamic stability of ships in the realistic sea. For this research study, we have investigated the parameters involved in damping of the ship. In
Externí odkaz:
https://doaj.org/article/a1e9cc38800243199b845bd76ec5e7dd
Publikováno v:
Mathematics, Vol 11, Iss 2, p 270 (2023)
In this work, we introduce a new type of generalized mixed-type quadratic-additive functional equation and obtain its general solution. The main goal of this work is to investigate Ulam stability of this mixed type of quadratic-additive functional eq
Externí odkaz:
https://doaj.org/article/5963f5b2fbfe4262aa2570fdaf2e0377
Autor:
Kandhasamy Tamilvanan, Ali H. Alkhaldi, Jyotsana Jakhar, Renu Chugh, Jagjeet Jakhar, John Michael Rassias
Publikováno v:
Mathematics, Vol 11, Iss 2, p 371 (2023)
In this work, we investigate the refined stability of the additive, quartic, and quintic functional equations in modular spaces with and without the Δ2-condition using the direct method (Hyers method). We also examine Ulam stability in 2-Banach spac
Externí odkaz:
https://doaj.org/article/fcb0445d06384534a6af1fa230006aa9
Publikováno v:
Mathematics, Vol 10, Iss 11, p 1938 (2022)
In this work, we introduce a new type of generalised quartic functional equation and obtain the general solution. We then investigate the stability results by using the Hyers method in modular space for quartic functional equations without using the
Externí odkaz:
https://doaj.org/article/2788ae5d616d48fcb060edc7b38fae5c
Publikováno v:
Mathematics, Vol 10, Iss 11, p 1940 (2022)
In this work, we introduce a mixed type of quadratic-additive (QA) functional equation and obtain its general solution. The objective of this work is to investigate the Ulam–Hyers stability of this quadratic-additive (QA) functional equation in mat
Externí odkaz:
https://doaj.org/article/2792265b7a6b431f852c9dbce561917f