[PDF] Top 20 Stability of a Generalized Euler Lagrange Type Additive Mapping and Homomorphisms in Algebras
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Stability of a Generalized Euler Lagrange Type Additive Mapping and Homomorphisms in Algebras
... The paper of Th. M. Rassias 4 has provided a lot of influence in the development of what we call the generalized Hyers-Ulam stability of functional equations. In 1994, a generalization of Theorems 1.1 and ... See full document
22
Stability of homomorphisms on fuzzy Lie C∗ algebras via fixed point method
... In this paper, using the fixed point method, we prove the generalized Hyers-Ulam stability of homomorphisms and derivations in fuzzy Lie C ∗ -algebras for the following additive ©2014 Vah[r] ... See full document
8
Stability of Homomorphisms and Generalized Derivations on Banach Algebras
... some stability results concerning the functional equation ...the generalized Hyers-Ulam stability of homomorphisms and generalized derivations in real Banach ...given mapping f : ... See full document
12
Hyers Ulam Rassias stability of Jordan homomorphisms on Banach algebras
... By definition, it is obvious that ring homomorphisms are Jordan homomorphisms. Conversely, under a certain condition, Jordan homomorphisms are ring homomor- phisms. For example, each Jordan ... See full document
7
Approximate homomorphisms and derivations on random Banach algebras
... of stability problems originated from a famous talk Under what condition does there exist a homomorphism near an approximate homomorphism? given by ...for additive mappings between Banach ... See full document
7
Random homomorphisms and random derivations in random normed algebras via fixed point method
... The stability problem of functional equations originated from the question of Ulam [] concerning the stability of group ...was generalized by Aoki [] for additive mappings and by Rassias [] ... See full document
13
Homomorphisms and derivations in induced fuzzy C∗ algebras
... Cauchy-Jensen additive equation and thus every solution of equation () may be analogously called a general (m, n)-Cauchy-Jensen ...Hyers-Ulam stability in quasi β -normed spaces ...a mapping f : X → ... See full document
12
Almost Jordan homomorphisms and Jordan derivations associated to the parametric additive functional equation on fuzzy Banach algebras
... a mapping f satisfying ...be additive. Conversely, let f: V ® W be additive, it is clear that f satisfying ...fuzzy stability of Jordan ... See full document
11
Generalized additive functional inequalities in Banach algebras
... The stability problem of functional equations originated from a question of Ulam [38] concerning the stability of group homomorphisms. Hyers [9] gave a first affir- mative partial answer to the ... See full document
9
Nearly n homomorphisms and n derivations in fuzzy ternary Banach algebras
... Cauchy-Jensen additive equation, and thus every solution of equation ...Ulam-Hyers-Rassias stability in quasi β -normed spaces ...a mapping f : X → Y satisfies equation ...Cauchy additive, ... See full document
11
Approximation of a generalized Euler-Lagrange type additive mapping on Lie $C^{\ast}$-algebras
... for additive mappings and by Rassias [15] for linear mappings by considering an unbounded Cauchy ...[3] generalized the Rassias’ result by using a general control function in the spirit of Rassias’ ...the ... See full document
10
Algebras defined by homomorphisms
... An additive mapping D : A −→ A is called generalization derivation if there exists a derivation d : A −→ A such that D(xy) = D(x)y + xd(y) for all x, y ∈ A and we say D is a d-derivation ...and ... See full document
12
Approximate Euler Lagrange quadratic mappings
... of stability of functional equations was originally stated by Ulam ...mate additive mappings on Banach ...Hyers-Ulam stability theorem in [3]. His result was further generalized and ... See full document
14
On the Generalized Ulam Gavruta Rassias Stability of Mixed Type Linear and Euler Lagrange Rassias Functional Equations
... approximately additive mapping for which there exist constants θ ≥ 0 and p,q ∈ R such that r = p + q = 1, and f satisfies the Cauchy-Gavruta-Rassias ... See full document
10
Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation
... The stability problem of functional equations originated from a question of Ulam [1] concerning the stability of group ...was generalized by Aoki [3] for additive mappings and by Rassias [4] ... See full document
22
Additive functional equation and inequality are stable in Banach space and its applications
... the additive functional equation ...an additive Cauchy functional equation in honor of ...of additive functional equations is frequently applied to the development of theories of other functional ... See full document
8
Euler Lagrange Type Cubic Operators and Their Norms on Space
... Jun and Kim 5 proved that when both X and Y are real vector spaces, a function f : X→Y satisfies 1.6 if and only if there exists a function B : X × X × X→Y such that fx Bx, x, x for all x ∈ X, and B is symmetric for each ... See full document
8
3. Stability of a quartic and ortgogonally quartic functional equation
... f (ax+by)+f (ax − by) = (ab) 2 [f (x+y)+f (x − y)]+2(b 2 − a 2 )[b 2 f (y) − a 2 f(x)] (2.2) for all x, y ∈ R , a ̸ = b, and a, b ̸ = 0, ± 1 using Fr´ echet functional equation was discussed in [29]. Very recently the ... See full document
12
Euler Lagrange Elasticity with Dynamics
... of Euler, Lagrange, and Poisson [6] to build the equations of elasticity using point locations and forces instead of stress and ...of Euler-Lagrange elasticity. The equations of ... See full document
8
On the Stability of Generalized Additive Functional Inequalities in Banach Spaces
... Hyers-Ulam-Rassias stability of the functional inequality ...Jensen additive mappings and prove their stability, and Cho and Kim 23 proved the Hyers- Ulam-Rassias stability of the Jordan-von ... See full document
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