[PDF] Top 20 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

... of functional equations is the following: ‘When is it true that a function which approximately satisfies a functional equation must be close to an ex- act solution of the equation?’ If ... See full document

... 12. Gregory, V, Romaguera, S: Some properties of fuzzy metric spaces. Fuzzy Sets Syst. 115, 485-489 (2000) 13. Gregory, V, Romaguera, S: On completion of fuzzy metric spaces. Fuzzy Sets Syst. 130, 399-404 ... See full document

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

... The theory of fuzzy sets was introduced by Zadeh in 1965 [31]. After the pioneer- ing work of Zadeh, there has been a great effort to obtain fuzzy analogues of classical theories. Among other fields, a progressive ... See full document

... the stability problems of functional equations. The stability phenomenon that was introduced and proved by Rassias is called the generalized Hyers-Ulam ...The stability problems of several ... See full document

... quadratic functional equation because the quadratic function f (x) = ax 2 is a solu- tion of the functional equation ...quadratic functional equation was used to characterize ... See full document

... for a fixed integer a with a ≠ 0, ± 1. In [13], one can find the fact that Equation (1.1) implies Equation 1.5. Recently, Xu, Rassias and Xu [14] investigated the stability pro- blem for ... See full document

... the solution and stability in random normed spaces, in non–Archimedean spaces and also in p–Banach spaces and finally the stability using the alternative ... See full document

... in non-Archimedean normed spaces and in random normed spaces, where m , n are different integers greater than ...Hyers-Ulam stability of the above functional equation in ... See full document

... of stability problems for various functional ...the stability of group homomorphisms seemed too abstract for anyone to reach any ...partial solution to Ulam’s question that was the first ... See full document

... the functional equation ...general solution of functional equation ...vector spaces, and then we prove the generalized Hyers-Ulam stability of ... See full document

... a non-Archimedean norm || · || : V ® ℝ is called a non- Archimedean ...a non-Archimedean norm || · || : V ® ℝ on a vector space V which is complete, then (V, || · ||) is called a ... See full document

... If the problem accepts a solution, we say that the equation is stable. The first sta- bility problem concerning group homomorphisms was raised by Ulam [35] in 1940. In the next year, Hyres [11] gave a ... See full document

... Hyers-Ulam stability of the functional equation (1.1) in Banach modules over a C ∗ ...Hyers-Ulam stability of the functional equation (1.1) in ... See full document

... normed spaces (RN-spaces) is important as a generalization of deterministic result of linear normed spaces and also in the study of random operator ...Hyers-Ulam stability of different ... See full document

... 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

... The method which was provided by Hyers, and which produces the additive mapping h, was called a direct method. This method is the most important and most powerful tool for studying the stability of various ... See full document

... In the sequel we adopt the usual terminology, notations, and conventions of the theory of random normed spaces, as in 19–21. Throughout this paper, Δ is the space of distribution functions that is, the space of ... See full document

... the stability of quadratic double centralizers and quadratic multipliers: a fixed point ...Hyers-Ulam stability of quadratic double centralizers and quadratic multipliers on Banach algebras by fixed ... See full document