non-Archimedean normed space
Nonlinear approximation of an ACQ-functional equation in nan-spaces
... for all x, y Î X. In fact, if we choose L = |2| r , then we get the desired result. □ Theorem 2.4. Let X be a non-Archimedean normed space and Y a non-Archimedean Banach ...
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On the Mazur Ulam problem in non Archimedean fuzzy 2 normed spaces
... a non-Archimedean -normed ...linear space over a field K with a non-Archimedean valuation | · ...a non-Archimedean fuzzy -norm on X if for all x, y ∈ X and all s, ...
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Fixed points and approximately octic mappings in non Archimedean 2 normed spaces
... a normed space which does not have the Archimedean prop- ...of non-Archimedean spaces has gained the interest of physicists for their research in particular in problems coming from ...
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On Fixed Point Theorem in Non-Archimedean Fuzzy Normed Spaces
... on non-archimedean normed space was proved in [6] as seen in the next ...are non-archimedean normed over a non-archimedean field K with |p| 6= 1 for some p ∈ ...
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A Mazur Ulam problem in non Archimedean n normed spaces
... a non-Archimedean n-normed space which is a kind of gener- alization of a non-Archimedean -normed space, and we show the (additive) Mazur-Ulam theorem for an ...
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Approximation on the reciprocal functional equation in several variables in matrix non Archimedean random normed spaces
... random normed spaces as in [–]. Throughout this paper, + is the space of dis- tribution functions, that is, the space of all mappings F : R ∪ {–∞, ∞} → [, ] such that F is left-continuous and ...
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A functional equation related to inner product spaces in non Archimedean L random normed spaces
... 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 left continuous, non-decreasing on R and F() = L , ...
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Hyers Ulam Rassias stability of the additive quadratic mappings in non Archimedean Banach spaces
... In , a generalized Hyers-Ulam stability problem for the quadratic functional equa- tion was proved by Skof [] for mappings f : X → Y , where X is a normed space and Y is a Banach space. In ...
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Fixed point approach to the Hyers-Ulam-Rassias approximation of homomorphisms and derivations on Non-Archimedean random Lie $C^*$-algebras
... random normed spaces, as in [9, 31, ...the space of distribution functions, that is, the space of all mappings F : R ∪ {−∞, ∞} → [0, 1] such that F is left- continuous and non-decreasing on R ...
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Fixed points and approximately heptic mappings in non Archimedean normed spaces
... Let (X, d) be a generalized metric space. An operator T : X → X satisfies a Lipschitz con- dition with the Lipschitz constant L if there exists a constant L ≥ such that d(Tx, Ty) ≤ Ld(x, y) for all x, y ∈ X. If ...
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Non-Archimedean stability of Cauchy-Jensen Type functional equation
... is called a quadratic functional equation. In particular, every solution of the qua- dratic functional equation is said to be a quadratic mapping. In 1983, a generalized Hyers-Ulam stability problem for the quadratic ...
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Stability of functional equations in \((n,\beta)\) normed spaces
... β)-normed space and non-Archime- dean (n, β)-normed space, then we study the Hyers-Ulam stability of the Cauchy func- tional equation and the Jensen functional equation in ...
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Stability of general multi Euler Lagrange quadratic functional equations in non Archimedean fuzzy normed spaces
... a non-Archimedean field, X be a vector space over K and (Y , N, T ) be a complete non-Archimedean fuzzy normed space over ...
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On nonlinear stability in various random normed spaces
... Theorem 4.2. Let K be a non-Archimedean field, X a vector space over K and let (Y, μ, T)be a non-Archimedean random Banach space over K . Let f : X → Ybe a Ψ- approximately ...
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A Functional equation related to inner product spaces in non archimedean normed spaces
... of non-Archimedean spaces has gained the interest of physicists for their research in particular in problems coming from quantum physics, p-adic strings and superstrings ...classical normed ...
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Stability of the quadratic functional equation in non-Archimedean L-fuzzy normed spaces
... Theorem 5.2. Let K be a non-Archimedean field, X a vector space over K and (Y, P , T ) a non-Archimedean L-fuzzy Banach space over K. Let f : X → Y be a Ψ-approximately quadratic ...
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Generalized Stabilities of Euler-Lagrange-Jensen (a,b)-Sextic Functional Equations in Quasi-β-Normed Spaces
... −62(ab) 2 a 2 + b 2 6= 0. Then we investigate the generalized Ulam-Hyers stability of the equation (1.8) in quasi-β-normed spaces using fixed point method. We extend the stability results involving sum of powers ...
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Stability results in non Archimedean L fuzzy normed spaces for a cubic functional equation
... 24. Rassias, TM: On the stability of the linear mapping in Banach spaces. Proc. Am. Math. Soc. 72, 297-300 (1978) 25. Rassias, TM: Functional Equations, Inequalities and Applications. Kluwer Academic, Dordrecht (2003) ...
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On the Ulam Hyers stability of a quadratic functional equation
... Theorem 4.1 (The alternative fixed point [17,18]) Suppose that we are given a com- plete generalized metric space (Ω, d) and a strictly contractive mapping T : Ω ® Ω with Lipschitz constant L. Then (for each given ...
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Isomorphism of Groups of Operators on Hilbert Space
... a non empty set then a real valued function d defined on M⨯M is called a distance function (or metric function or simply metric on M ) if the following conditions are satisfied ...
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