Search Results - "Rassias, J. M"

Local stability of mappings on multi-normed spaces by Park, Choonkil, Noori, Batool, Moghimi, M. B., Najati, Abbas, Rassias, J. M.

“…First we investigate the Hyers–Ulam stability of the Cauchy functional equation for mappings from bounded (unbounded) intervals into Banach spaces. Then we…”
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Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces by Eshaghi Gordji, M., Zolfaghari, S., Rassias, J. M., Savadkouhi, M. B.

“…We obtain the general solution and the generalized Ulam-Hyers stability of the mixed type cubic and quartic functional equation…”
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The superstability of d’Alembert’s functional equation on the Heisenberg group by Bouikhalene, B., Elqorachi, E., Rassias, J.M.

“…In this paper, we investigate the superstability of d’Alembert’s functional equation f ( a b ) + f ( a i ( b ) ) = 2 f ( a ) f ( b ) , a , b ∈ H , where H is…”
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Stability and nonstability of octadecic functional equation in multi-normed spaces by Nazarianpoor, M., Rassias, J. M., Sadeghi, Gh

“…In this paper, we introduce octadecic functional equation. Moreover, we prove the stability of the octadecic functional equation in multi-normed spaces by…”
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Generalized Hyers-Ulam Stability of Generalized (N,K)-Derivations by Eshaghi Gordji, M., Rassias, J. M., Ghobadipour, N.

“…Let 3≤n, and 3≤k≤n be positive integers. Let A be an algebra and let X be an A-bimodule. A ℂ-linear mapping d:A→X is called a generalized (n,k)-derivation if…”
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Approximate homomorphisms from ternary semigroups to modular spaces by Park, Choonkil, Rassias, J. M., Bodaghi, Abasalt, Kim, Sang Og

“…In this article, we investigate the generalized Hyers–Ulam stability of ternary homomorphisms from ternary semigroups into modular spaces. Ternary algebraic…”
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A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with Involution by Pourpasha, MM, Rassias, JM, Saadati, R, Vaezpour, SM

“…We apply the fixed point method to investigate the Hyers-Ulam stability of the Pexider functional equation , for all , where E is a normed space and is an…”
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Superstability for Generalized Module Left Derivations and Generalized Module Derivations on a Banach Module (I) by Cao, Huai-Xin, Lv, Ji-Rong, Rassias, J. M.

“…We discuss the superstability of generalized module left derivations and generalized module derivations on a Banach module. Let be a Banach algebra and a…”
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Approximately Ternary Homomorphisms and Derivations on C-Ternary Algebras by Gordji, Madjid Eshaghi, Ebadian, A., Ghobadipour, N., Rassias, John Michael, Savadkouhi, M. B.

“…We investigate the stability and superstability of ternary homomorphisms between C*-ternary algebras and derivations on C*-ternary algebras, associated with…”
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Stability of General Cubic Mapping in Fuzzy Normed Spaces by Javadi, S., Rassias, J. M.

“…We establish some stability results concerning the general cubic functional equation f(x + ky) - kf(x + y) + kf(x - y) - f(x - ky) = 2k(k2 - 1)f(y) for fixed k…”
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Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields by Ravi, K., Rassias, J. M., Senthil Kumar, B. V.

“…In this paper, we obtain the solution of a new generalized reciprocal type functional equation in two variables and investigate its generalized Hyers–Ulam…”
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A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with Involution by Pourpasha, M M, Rassias, J M, Saadati, R, Vaezpour, S M

“…We apply the fixed point method to investigate the Hyers-Ulam stability of the Pexider functional equation f(x+y)+g(x+σ(y))=h(x)+k(y) , for all x,y∈E , where E…”
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Superstability for Generalized Module Left Derivations and Generalized Module Derivations on a Banach Module (I) by Cao, Huai-Xin, Ji-Rong Lv, Rassias, J M

“…We discuss the superstability of generalized module left derivations and generalized module derivations on a Banach module. Let ...9C; be a Banach algebra and…”
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Solution and Stability of a Mixed Type Additive, Quadratic, and Cubic Functional Equation by Gordji, M Eshaghi, S. Kaboli Gharetapeh, Rassias, J M, Zolfaghari, S

“…We obtain the general solution and the generalized Hyers-Ulam-Rassias stability of the mixed type additive, quadratic, and cubic functional equation…”
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Nearly Ternary Quadratic Higher Derivations on Non-Archimedean Ternary Banach Algebras: A Fixed Point Approach by Gordji, Madjid Eshaghi, Ghaemi, M. B., Rassias, John Michael, Alizadeh, Badrkhan

“…We investigate the stability and superstability of ternary quadratic higher derivations in non-Archimedean ternary algebras by using a version of fixed point…”
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Solution of the Ulam Stability Problem for Euler–Lagrange Quadratic Mappings by Rassias, John Michael

“…In 1940 S. M. Ulam proposed at the University of Wisconsin theproblem: “Give conditions in order for a linear mapping near an approximately linear mapping to…”
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On the Ulam stability of Jensen and Jensen type mappings on restricted domains by Rassias, John Michael, Rassias, Matina John

“…In 1941 Hyers solved the well-known Ulam stability problem for linear mappings. In 1951 Bourgin was the second author to treat this problem for additive…”
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On the Hyers-Ulam stability problem for quadratic multi-dimensional mappings by Rassias, J. M.

“…In 1940 S. M. Ulam proposed the well-known Ulam stability problem. In 1941 D. H. Hyers solved this problem for linear mappings. According to P. M. Gruber…”
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Asymptotic behavior of alternative Jensen and Jensen type functional equations by Rassias, John Michael, Rassias, Matina John

“…In 1941 D.H. Hyers solved the well-known Ulam stability problem for linear mappings. In 1951 D.G. Bourgin was the second author to treat the Ulam problem for…”
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Approximation of General ð>¼-Cubic Functional Equations in 2-Banach Spaces by Eskandani, G Z, Rassias, J M

“…We introduce a new α-cubic functional equation and investigate the generalized Hyers–Ulam stability of this functional equation in 2-Banach spaces…”
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