[PDF] Top 20 Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces
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Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces
... for all x ∈ E. Moreover if ftx is continuous in t ∈ R for each fixed x ∈ E, then T is linear. In 1978, Rassias 3 provided a generalization of Hyers’ Theorem which allows the Cauchy difference to be unbounded. In 1991, ... See full document
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Generalized Ulam-Hyers Stability of the Harmonic Mean Functional Equation in Two Variables
... quadratic, cubic and quartic functional equations and its Hyers-Ulam-Rassias stability were discussed by various authors ([3], [7], [12], [21], [24], [27], [29], [32], [34], ...the ... See full document
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Solutions and Stability of Generalized Mixed Type QC Functional Equations in Random Normed Spaces
... is related to symmetric biadditive mapping. It is natural that this equation is called a quadratic functional equation. In particular, every solution of the quadratic equation 1.3 is said to be a quadratic ... See full document
16
Stability of a mixed type cubic and quartic functional equation in fuzzy Banach spaces
... first stability problem concerning group ...This stability is also investigates by Park ...other type fuzzy norms and some properties of fuzzy normed linear spaces ...versions ... See full document
11
Orthogonal stability of mixed type additive and cubic functional equations
... The stability problem of functional equations originated from a question of S. M. Ulam ([12]) in 1940, concerning the stability of group homomorphisms. D. H. Hyers [8] gave a partial ... See full document
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Erratum to: A Note to Paper "On the Stability of Cubic Mappings and Quartic Mappings in Random Normed Spaces"
... the cubic functional equation is said to be a cubic ...The stability problem for the cubic functional equation was solved by Jun and Kim 2 and Lee 3 for mappings f : X → Y , ... See full document
6
On the stability of a cubic functional equation in random 2 normed spaces
... Banach spaces and then generalized by Aoki [3] and Rassias [4] for additive mappings and linear mappings, ...several stability problems for various functional equations have been investigated ... See full document
10
On the Stability of a General Mixed Additive Cubic Functional Equation in Random Normed Spaces
... on stability of equation g ax a s gx a, s ∈ N, a ≥ 2 in random normed spaces and derive from it results on stability of equation f4x 10f2x − ...Ulam-Hyers stability for the ... See full document
16
Nonlinear Fuzzy stability of cubic functional equations
... the cubic functional equations, since the function f(x) = cx 3 is their solu- ...the cubic functional equations is said to be a cubic ...The stability problem for ... See full document
19
On the Stability of Cubic Mappings and Quadratic Mappings in Random Normed Spaces
... the stability of the cubic functional equation f2x y f2x − y 2fx y 2fx − y 12fx in fuzzy normed spaces was proved in earlier work; and the stability of the additive ... See full document
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Cubic-quartic functional equations in fuzzy normed spaces
... a cubic functional equation. Every solution of the cubic functional equation is said to be a cubic ...vector spaces X and Y is a solution of ...The stability of ... See full document
10
On the Stability of Functional Equations in Random Normed Spaces
... the cubic functional equation since f (x) = cx 3 is its ...the cubic functional equation is said to be a cubic ...The stability problem of cubic equation ...Banach ... See full document
10
Generalized Ulam Hyers Stability of Jensen Functional Equation in Šerstnev PN Spaces
... mentioned stability involving a product of powers of norms is called Ulam- Gavruta-Rassias stability by various authors see ...of mixed type functional equations and their ... See full document
14
A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi Normed Spaces
... Ulam-Hyers stability problem for these cubic ...the functional equation 1.2, which is called a cubic functional equation and every solution of the cubic functional ... See full document
23
Stability of functional equations in \((n,\beta)\) normed spaces
... the stability of the linear functional ...the stability of the linear mapping in Banach ...the stability of a quartic functional ...Hyers-Ulam-Rassias Stability of ... See full document
18
On the stability of an AQCQ functional equation in random normed spaces
... of stability for func- tional equation arises when we replace the functional equation by an inequality which acts as a perturbation of the ...Banach spaces. Let f : E ® E’ be a mapping between Banach ... See full document
12
Non-Archimedean stability of Cauchy-Jensen Type functional equation
... dratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional equation was proved by Skof [34] for mappings f : X → Y , where X is a normed ... See full document
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Quadratic (s1,s2)-functional inequality in fuzzy normed space
... HU Stability is consequence of study of Ulam’s [1] problem regarding stability of group ...HU Stability under various ...HU stability in Banach spaces and non- Archimedean Banach ...HU ... See full document
10
Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces
... This method is called the direct method or Hyers method. It is often used to construct a solution of a given functional equation and is seen to be a powerful tool for studying the stability of many ... See full document
18
Stability results in ℒ fuzzy normed spaces for a cubic functional equation
... metric spaces and L-fuzzy normed ...fuzzy normed space and gave the generalization of the Kolmogoroff normalized theorem for a fuzzy topological linear ... See full document
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