Cubic Functional Equation
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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 ...
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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 ...
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On the Stability of a General Mixed Additive Cubic Functional Equation in Random Normed Spaces
... 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 − ...additive-cubic functional equation ...linear ...
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Intuitionistic Fuzzy Stability of n-Dimensional Cubic Functional Equation: Direct and Fixed Point Methods
... -Dimensional Cubic Functional Equation in Felbin’s Type Spaces: Direct and Fixed Point Methods, International Conference on Mathematical Sciences, (ICMS 2014), Elsevier Publication, 81-88, ...
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Solution and Stability of a Mixed Type Additive, Quadratic, and Cubic Functional Equation
... We now investigate the generalized Hyers-Ulam-Rassias stability problem for functional equation 1.6. From now on, let X be a real vector space, and let Y be a Banach space. Now before taking up the main ...
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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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A Fixed Point Approach to the Fuzzy Stability of an Additive-Quadratic-Cubic Functional Equation
... Hyers’ theorem was generalized by Aoki 15 for additive mappings and by Th. M. Rassias 16 for linear mappings by considering an unbounded Cauchy difference. The paper of Th. M. Rassias 16 has provided a lot of influence in ...
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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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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 ...
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Stability results in non Archimedean L fuzzy normed spaces for a cubic functional equation
... a functional equation is related to the question of Ulam [] concerning the stability of group homomorphisms and affir- matively answered for Banach spaces by Hyers ...
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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 ...
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Approximately cubic functional equations and cubic multipliers
... that Equation (1.2) is called a cubic functional equation and every solution of this cubic functional equation is said to be a cubic func- ...a cubic ...
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Generalized Ulam-Hyers Stability of a General Mixed AQCQ-functional Equation in Multi-Banach Spaces: a Fixed Point Approach
... the functional equation (2), which is called a cubic functional equation and every solution of the cubic functional equation is said to be a cubic ...
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A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi Normed Spaces
... the functional equation 1.2, which is called a cubic functional equation and every solution of the cubic functional equation is said to be a cubic ...
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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 ...
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Solutions and Stability of Generalized Mixed Type QC Functional Equations in Random Normed Spaces
... is thus called a cubic functional equation. Every solution of the cubic functional equation is said to be a cubic function. Also, Jun and Kim proved that a function f ...
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A fixed point approach to the non-Archimedean random stability of generalized mixed type AQCQ-functional equations
... a cubic functional equation, because the cubic function f (x) = cx 3 is a solution of the equation ...the functional equation ...
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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 ...
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Vol 6, No 12 (2015)
... Now, we will investigate the stability of the given cubic functional equation (1) using the alternative fixed point.. Before proceeding the proof, we will state the theorem, the alterna[r] ...
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