[PDF] Top 20 On the stability of pexider functional equation in non archimedean spaces
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On the stability of pexider functional equation in non archimedean spaces
... In a non-Archimedean field, the triangle inequality is satisfied and so a metric is defined. But an interesting inequality changes the usual Archimedean sense of the absolute value. For any n Î N , ... See full document
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Generalized Hyers-Ulam Stability of the Pexiderized Cauchy Functional Equation in Non-Archimedean Spaces
... In other words, we are looking for situations when the homomorphisms are stable, that is, if a mapping is almost a homomorphism, then there exists a true homomorphism near it. If we turn our attention to the case of ... See full document
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Approximately generalized additive functions in several variables
... and stability in random normed spaces, in non–Archimedean spaces and also in p–Banach spaces and finally the stability using the alternative fixed point of generalized ... See full document
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Lattictic non archimedean random stability of ACQ functional equation
... 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
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Approximation of a generalized Euler-Lagrange type additive mapping on Lie $C^{\ast}$-algebras
... Hyers-Ulam stability of the functional equation ...Hyers-Ulam stability of the functional equation (1.1) in non-Archimedean Banach spaces by using fixed ... See full document
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On the Stability of a New Pexider Type Functional Equation
... Hyers-Ulam-Rassias stability see also 4, ...Hyers-Ulam-Rassias stability of the Pexider equation of fx y gx ...Quadratic functional equation was used to characterize inner ... See full document
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Stability results in non Archimedean L fuzzy normed spaces for a cubic functional equation
... 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
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Nonlinear approximation of an ACQ-functional equation in nan-spaces
... for all x, y Î X. In fact, if we choose L = |8| r , then we get the desired result. □ Theorem 2.2. Let X be a non-Archimedean normed space and Y a non-Archimedean Banach space. Assume that g : ... See full document
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A fixed point approach to the hyers-ulam stability of a functional equation in various normed spaces
... normed spaces, non- Archimedean normed spaces, fuzzy normed spaces, functional equations, and fixed point ...Hyers-Ulam stability of the functional equation ... See full document
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A Functional equation related to inner product spaces in non archimedean normed spaces
... of functional analysis concerning the Ulam stability problem of functional equations is as follows: When is it true that a mapping satisfying a functional equation approximately must be ... See full document
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A functional equation related to inner product spaces in non Archimedean L random normed spaces
... empty subset admits supremum and infimum and L = inf L, L = sup L. The space of lat- ticetic random distribution functions, denoted by + L , is defined as the set of all mappings F : R∪ { – ∞ , + ∞} → L such that F is ... See full document
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Approximate Euler Lagrange quadratic mappings
... the functional equation (3) to a more general form f (kx + y) + f (kx − y) = kf (x + y) + kf (x − y) + 2k(k − 1)f (x) − 2(k − 1)f (y) (4) and investigate the Hyers-Ulam stability of the ... See full document
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Quadratic (s1,s2)-functional inequality in fuzzy normed space
... HU Stability is consequence of study of Ulam’s [1] problem regarding stability of group ...HU Stability under various ...HU stability in Banach spaces and non- Archimedean ... See full document
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Non Archimedean Hyers Ulam Rassias stability of m variable functional equation
... the stability of functional equations in Banach ...the stability of functional equations and a problem of ...Hyers-Ulam stability of linear ... See full document
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On the Ulam Hyers stability of a quadratic functional equation
... 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
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Fixed point approach to the Hyers-Ulam-Rassias approximation of homomorphisms and derivations on Non-Archimedean random Lie $C^*$-algebras
... Hyers-Ulam stability of homomorphisms and derivations in non- Archimedean random C ∗ -algebras and non-Archimedean random Lie C ∗ -algebras for the following additive functional ... See full document
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Non-Archimedean stability of Cauchy-Jensen Type functional equation
... a non-Archimedean valuation and the field is called a non-Archimedean ...a non-Archimedean valuation is the function | · | taking everything except for 0 into 1 and |0| = ... See full document
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Hyers Ulam Rassias stability of the additive quadratic mappings in non Archimedean Banach spaces
... of stability theory of functional equations for the proof of new fixed-point theorems with applica- ...the stability problems of several functional equations have been extensively investigated ... See full document
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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
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Stability of the quadratic functional equation in non-Archimedean L-fuzzy normed spaces
... Therefore, from (5.6), we conclude that Q = Q 0 . This completes the proof. Corollary 5.3. Let K be a non-Archimedean field, X a vector space over K and (Y, P , T ) a non-Archimedean L-fuzzy ... See full document
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