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[PDF] Top 20 STABILITY OF A FUNCTIONAL EQUATION IN COMPLEX BANACH SPACES

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STABILITY OF A FUNCTIONAL EQUATION IN COMPLEX BANACH SPACES

STABILITY OF A FUNCTIONAL EQUATION IN COMPLEX BANACH SPACES

... Conclusion : Though we have seen that both the equations (0.1) and (0.2) can be reduced to the equation (1.2), one can try to find particular solution of the equations (0.1) and (0.2). In the next, can we be able ... See full document

8

Stability of a Mixed Type Functional Equation on Multi-Banach Spaces: A Fixed Point Approach

Stability of a Mixed Type Functional Equation on Multi-Banach Spaces: A Fixed Point Approach

... Hyers-Ulam stability see also 22 ...Jensen functional equation see 23, 24 ...the stability problems of several functional equations have been extensively investigated by a number of ... See full document

9

On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi Banach Spaces

On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi Banach Spaces

... Hyers-Ulam stability problem for the quadratic functional equation ...a Banach space see ...Hyers-Ulam stability of the functional equation ... See full document

26

Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation

Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation

... f (2x + y) + f (2x − y) = 2f (x + y) + 2f (x − y) + 12f (x) (1:3) and they established the general solution and the generalized Hyers-Ulam stability for the functional equation (1.3). They proved ... See full document

22

A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Functional Equation

A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Functional Equation

... functional equation. In particular, every solution of the quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional ... See full document

16

Solution and stability of Tribonacci functional
equation in non-Archimedean Banach spaces

Solution and stability of Tribonacci functional equation in non-Archimedean Banach spaces

... Solution and stability of Tribonacci functional equation in non-Archimedean Banach spaces.. b Payame Noor University, Rafsanjan, Iran.[r] ... See full document

8

Fuzzy Stability of an Additive Quadratic Quartic Functional Equation

Fuzzy Stability of an Additive Quadratic Quartic Functional Equation

... Hyers-Ulam stability of the additive-quadratic-quartic functional equation ...fuzzy Banach spaces for an odd ...Hyers-Ulam stability of the additive- quadratic-quartic ... See full document

22

On stability of the functional equation of p-Wright affine functions in (2, α)-Banach spaces

On stability of the functional equation of p-Wright affine functions in (2, α)-Banach spaces

... the stability of the functional equation of the p-Wright affine functions in (2,α)-Banach spaces, for some real number α ∈ ( 0, ...)-Banach spaces, for some natural number ... See full document

9

Stability of generalized QCA-functional equation in P-Banach spaces

Stability of generalized QCA-functional equation in P-Banach spaces

... Najati and Moghimi [11], have obtained the generalized Hyers-Ulam-Rassias sta- bility for a mixed type of quadratic and additive functional equation. In addition Eshaghi Gordji and Khodaei [3], established ... See full document

16

Stability of a Cauchy Jensen Functional Equation in Quasi Banach Spaces

Stability of a Cauchy Jensen Functional Equation in Quasi Banach Spaces

... Cauchy functional equation gxy gxgy respectively, the Jensen functional equation 2gxy/2 ...Hyers-Ulam stability by considering variables for Cauchy ...Cauchy equation, and by Lee ... See full document

9

Stability of a mixed type cubic and quartic functional equation in fuzzy Banach spaces

Stability of a mixed type cubic and quartic functional equation in fuzzy Banach spaces

... Hyers [8] was the first person to point out the direct method for studying the stability of func- tional equation. In 2003, Radu [19] proposed the fixed point alternative method to solve the Ulam problem. ... See full document

11

Stability of Euler-Lagrange-Jensen’s (a,b)- Sextic Functional Equation in Multi-Banach Spaces

Stability of Euler-Lagrange-Jensen’s (a,b)- Sextic Functional Equation in Multi-Banach Spaces

... Hyers-Ulam stability of functional equation is investigated and the investigation is ...Hyers-Ulam Stability of Euler-Lagrange-Jensen’s (a, b)- Sextic Functional Equation is of ... See full document

7

Intuitionistic fuzzy stability of a
quadratic and quartic functional equation

Intuitionistic fuzzy stability of a quadratic and quartic functional equation

... of stability of a functional equation arises when one replaces a func- tional equation by an inequality which acts as a perturbation of the ...first stability problem concerning group ... See full document

25

Fuzzy Stability of Generalized Square Root Functional Equation in Several Variables: A Fixed Point Approach

Fuzzy Stability of Generalized Square Root Functional Equation in Several Variables: A Fixed Point Approach

... Hyers-Ulam stability of Hyers- Ulam-Rassias stability of functional ...Hyers-Ulam-Rassias stability problem for quadratic functional ... See full document

10

Generalized stability of an AQ-functional equation in quasi-(2;p)-Banach spaces

Generalized stability of an AQ-functional equation in quasi-(2;p)-Banach spaces

... The authors also would like to express their appreciation to Professor Meimei Song of Tian- jin University of Technology for a careful reading and many very helpful suggestions for the i[r] ... See full document

18

Stability of 2-Variable Additive-Quadratic-Cubic-Quartic Functional Equation Using Fixed Point Method

Stability of 2-Variable Additive-Quadratic-Cubic-Quartic Functional Equation Using Fixed Point Method

... The stability of mixed type functional equations have been extensively investigated by a number of math- ematicians in referenes (see [3–5, 14–22, 28–31, 33–38, 43, 48, ... See full document

24

An AQCQ functional equation in matrix Banach spaces

An AQCQ functional equation in matrix Banach spaces

... quartic functional equation, and every solution of the quartic functional equation is said to be a quartic ...The stability problems of several functional equations have been ... See full document

15

Fuzzy Hyers Ulam approximation of a mixed AQ mapping

Fuzzy Hyers Ulam approximation of a mixed AQ mapping

... Hyers-Ulam stability problem for the quadratic functional equation was proved by Skof [5] for mappings f : X ® Y, where X is a normed space and Y is a Banach ...Hyers-Ulam stability of ... See full document

19

Comment on "on the stability of quadratic double centralizers and quadratic multipliers: a fixed point approach" [Bodaghi et al , j  inequal  appl  2011, article id 957541 (2011)]

Comment on "on the stability of quadratic double centralizers and quadratic multipliers: a fixed point approach" [Bodaghi et al , j inequal appl 2011, article id 957541 (2011)]

... tional equation (1.1) is said to be a quadratic mapping. A Hyers-Ulam stability pro- blem for the quadratic functional equation was proved by Skof [5] for mappings f : X → Y , where X is a ... See full document

7

Approximate Quartic and Quadratic Mappings in Quasi Banach Spaces

Approximate Quartic and Quadratic Mappings in Quasi Banach Spaces

... the functional equation ...of functional equation 1.7 when f is a function between vector spaces, and then we prove the generalized Hyers-Ulam stability of ... See full document

19

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