[PDF] Top 20 Cubic-quartic functional equations in fuzzy normed spaces
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Cubic-quartic functional equations in fuzzy normed spaces
... for functional equation arises when we replace the functional equation by an inequality which acts as a perturbation of the ...Banach spaces. Let f : E → E 0 be a mapping between Banach spaces ... See full document
10
Stability results in non Archimedean L fuzzy normed spaces for a cubic functional equation
... 24. Rassias, TM: On the stability of the linear mapping in Banach spaces. Proc. Am. Math. Soc. 72, 297-300 (1978) 25. Rassias, TM: Functional Equations, Inequalities and Applications. Kluwer ... See full document
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Quadratic Quartic Functional Equations in RN Spaces
... The Hyers-Ulam-Rassias stability problem for the quadratic functional equation 1.3 was proved by Skof for mappings f : A → B, where A is a normed space and B is a Banach space see 14. Cholewa 15 noticed ... See full document
14
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 cubic functional equation was solved by Jun and Kim 2 and Lee 3 for mappings f : X → Y , where X is a real normed space ... See full document
6
Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods
... Generalized Fuzzy Normed Spaces, International Mathematical Forum, 4, 2009, ...linear functional equation, ...of functional equations in several variables,Birkhauser, Basel, ... See full document
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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 ...of cubic equation ...Banach spaces. Later on, Park and ... See full document
10
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, ...various functional equations have been investigated in ... See full document
10
Stabilities of Cubic Mappings in Fuzzy Normed Spaces
... a fuzzy norm on a linear space whose associated metric is Kramosil and Mich´alek type ...defined fuzzy metrics and norms on a linear space from various points of view ...pioneering cubic ... See full document
15
Fuzzy stability of functional inequalities in matrix fuzzy normed spaces
... The stability problem of functional equations originated from a question of Ulam [] concerning the stability of group homomorphisms. Hyers [] gave the first affirmative partial answer to the question of ... See full document
28
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], ...of ... See full document
17
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 cubic functional ... See full document
19
Stability of functional equations in \((n,\beta)\) normed spaces
... 2. Hyers, DH: On the stability of the linear functional equation. Proc. Natl. Acad. Sci. USA 27, 222-224 (1941) 3. Rassias, TM: On the stability of the linear mapping in Banach spaces. Proc. Am. Math. Soc. ... See full document
18
A General Theorem on the Stability of a Class of Functional Equations including Quartic-Cubic-Quadratic-Additive Equations
... for functional equations started with the famous question of Ulam [15]: Under what conditions does there exist an additive function near an approximately additive function? In 1941, Hyers [4] gave a partial ... See full document
26
On the Stability of a General Mixed Additive Cubic Functional Equation in Random Normed Spaces
... random normed spaces RN-spaces is important as a generalization of deterministic result of linear normed spaces and also in the study of random operator ...different functional ... See full document
16
Stability results in ℒ fuzzy normed spaces for a cubic functional equation
... 19. Ulam, SM: Problems in Modern Mathematics. Chapter VI. Science Editions. Wiley, New York (1964) 20. Hyers, DH: On the stability of the linear functional equation. Proc. Natl. Acad. Sci. USA 27, 222-224 (1941) ... See full document
9
Stability of Mixed Type Cubic and Quartic Functional Equations in Random 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 ... See full document
9
SOLUTION AND STABILITY OF CUBIC FUNCTIONAL EQUATION IN FUZZY NORMED SPACES
... Intmodellingtappliedtproblemstonlytpartialtinformationtmaytbet knownt(or)ttheretmaytbetatdegreetoftuncertaintytintthetparame terstusedtintthetmodeltortsometmeasurementstmaytbetimpreci se[r] ... See full document
7
Generalized Ulam Hyers Stability of Jensen Functional Equation in Šerstnev PN Spaces
... type functional equations and their Ulam-Hyers stability are dealt with in various spaces like fuzzy normed spaces, random normed spaces, quasi-Banach ... See full document
14
Stability of a mixed type cubic and quartic functional equation in fuzzy Banach spaces
... a fuzzy vector topological structure on the linear ...type fuzzy norms and some properties of fuzzy normed linear spaces ...various fuzzy versions stability problem concerning ... See full document
11
The Hyers Ulam Rassias stability of the quartic functional equation in fuzzy β normed spaces
... In the next year, Hyers [] gave a positive answer to the above question for additive groups under the assumption that the groups are Banach spaces. In , Rassias [] ex- tended the theorem of Hyers by ... See full document
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