cubic functional
On the Stability of a General Mixed Additive Cubic Functional Equation in Random Normed Spaces
... additive-cubic functional equation ...linear functional equations also for the random normed spaces, which correspond, for example, to the papers ...
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Approximately cubic functional equations and cubic multipliers
... a cubic functional equation and every solution of this cubic functional equation is said to be a cubic func- ...a cubic functional equation f(x + 2y) + f(x - 2y) + 6f(x) = ...
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On the stability of a cubic functional equation in random 2 normed spaces
... the cubic functional equation was proved by Jun and Kim [5] for mappings f: X ® Y, where X is a real normed space and Y is a Banach ...of cubic functional equation were discussed by many ...
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Nonlinear Fuzzy stability of cubic functional equations
... of cubic functional equations in the L -fuzzy normed space under arbitrary t - norm which generalizes previous ...of cubic functional equations in the non-Archimedean L -fuzzy normed ...
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Fuzzy stability of a cubic functional equation via fixed point technique
... The stability problem for the cubic functional equation was proved by Jun and Kim [21] for mappings f : X ® Y, where X is a real normed space and Y is a Banach space. In this article, we show that the ...
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A Fixed Point Approach to the Fuzzy Stability of an Additive-Quadratic-Cubic Functional Equation
... This paper is organized as follows. In Section 2, we prove the generalized Hyers-Ulam stability of the additive-quadratic-cubic functional 1.1 in fuzzy Banach spaces for an odd case. In Section 3, we prove ...
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Approximation of the Quadratic and Cubic Functional Equations in RN-spaces
... the functional equation ( 3 ) (in this case we have a much better pos- sible upper bound for ...the functional equation ( 3 ) , which is thus called a cubic functional ...the cubic ...
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Solution and Stability of a Mixed Type Additive, Quadratic, and Cubic Functional Equation
... 1 S. M. Ulam, Problems in Modern Mathematics, chapter 6, John Wiley & Sons, New York, NY, USA, 1940. 2 D. H. Hyers, G. Isac, and Th. M. Rassias, Stability of Functional Equations in Several Variables, Progress ...
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Orthogonal stability of mixed type additive and cubic functional equations
... f(x + y) = f (x) + f (y), (x, y ∈ A, x⊥y) (1.1) in which ⊥ is an abstract orthogonally was first investigated by S. Gudder and D. Strawther [7]. R. Ger and J. Sikkorska discussed the orthogonal stability of the equation ...
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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) ...
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General uniqueness theorem concerning the stability of additive, quadratic, and cubic functional equations
... the cubic, the quadratic-additive, the cubic- additive, the cubic-quadratic, and the cubic-quadratic-additive type functional equations; in fact, he proved the Hyers-Ulam stability of ...
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A fixed point approach to the stability of an additive cubic functional equation in paranormed spaces
... of functional equations araised as follows: When is it true that a function, which approximately satisfies a functional equation, must be close to an exact solution of the equation? If the problem accepts a ...
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SOLUTION AND STABILITY OF CUBIC FUNCTIONAL EQUATION IN FUZZY NORMED SPACES
... Intmodellingtappliedtproblemstonlytpartialtinformationtmaytbet knownt(or)ttheretmaytbetatdegreetoftuncertaintytintthetparame terstusedtintthetmodeltortsometmeasurementstmaytbetimpreci se[r] ...
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Stability of Cubic Functional Equation in the Spaces of Generalized Functions
... In this paper, we consider the general solution of 1.5 and prove the stability theorem of this equation in the space Rn of Schwartz tempered distributions and the space Ᏺ Rn of Fouri[r] ...
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Fuzzy approximately additive mappings
... additive functional equation, the Jensen additive functional equation and the cubic functional equation in fuzzy Banach ...ditive functional equation with n–variables, in fuzzy Banach ...
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Functional equations and inequalities in paranormed spaces
... additive functional equa- tion, the quadratic functional equation ...the cubic functional equation (.) and the quartic functional equation ...
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Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces
... 1.3, which is thus called a cubic functional equation. Every solution of the cubic functional equation is said to be a cubic function. Jun and Kim proved that a function f between real ...
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A fixed point approach to the non-Archimedean random stability of generalized mixed type AQCQ-functional equations
... is called a cubic functional equation, because the cubic function f (x) = cx 3 is a solution of the equation (1.3). The general solution and the generalized Hyers-Ulam-Rassias stability for the ...
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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 ...quartic functional equation was introduced by ...
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Stability of an Additive Cubic Quartic Functional Equation
... equation. Every solution of the cubic functional equation is said to be a cubic mapping. Jun and Kim proved that a mapping f between two real vector spaces X and Y is a solution of 1.1 if and only if ...
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