Results 11 to 20 of about 103 (93)
Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation [PDF]
Journal of Inequalities and Applications, 2011 In this paper, we prove the generalized Hyers-Ulam stability of generalized mixed type cubic, quadratic, and additive functional equation, in fuzzy Banach spaces. 2010 Mathematics Subject Classification: 39B82; 39B52.
Shin Dong +4 more
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Superstability of generalized cauchy functional equations
Advances in Difference Equations, 2011 In this paper, we consider the stability of generalized Cauchy functional equations such as Especially interesting is that such equations have the Hyers-Ulam stability or superstability whether g is identically one or not.
Chung Soon-Yeong, Lee Young-Su
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The stability of functional equation min{
Journal of Inequalities and Applications, 2011 In this paper, we prove the stability of the functional equation min {f(x + y), f(x - y)} = |f(x) - f(y)| in the class of real, continuous functions of real variable.
Przebieracz Barbara
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Local stability of the Pexiderized Cauchy and Jensen's equations in fuzzy spaces [PDF]
Journal of Inequalities and Applications, 2011 Lex X be a normed space and Y be a Banach fuzzy space. Let D = {(x, y) ∈ X × X : ||x|| + ||y|| ≥ d} where d > 0. We prove that the Pexiderized Jensen functional equation is stable in the fuzzy norm for functions defined on D and ...
Kang Jung Im, Cho Yeol Je, Najati Abbas
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Stability of the second order partial differential equations
Journal of Inequalities and Applications, 2011 We say that a functional equation (ξ) is stable if any function g satisfying the functional equation (ξ) approximately is near to a true solution of (ξ).
Ghaemi MB +3 more
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The Ulam Stability Problem for the Functional Equation f(x * g(y)) = f(x) f(y) [PDF]
, 2020 We present a solution of Ulam’s stability problem for the functional equation f(x * g(y)) = f(x)f(y) with vector-valued map f. Mathematics Subject Classification.
Badora, Roman
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Fuzzy approximation of an additive functional equation
Journal of Function Spaces, Volume 9, Issue 2, Page 205-215, 2011., 2011 In this paper, we investigate the generalized Hyers– Ulam– Rassias stability of the functional equation ∑i=1mf(mxi+∑j=1, j≠imxj)+f(∑i=1mxi)=2f(∑i=1mmxi) in fuzzy Banach spaces and some applications of our results in the stability of above mapping from a normed space to a Banach space will be exhibited.
G. Zamani Eskandani +3 more
wiley +1 more source
New Stability Results of Multiplicative Inverse Quartic Functional Equations
, 2021 The purpose of this investigation is to introduce different forms of multiplicative inverse functional equations, to solve them and to establish the stability results of them in the framework of matrix normed spaces.
et. al., Beri V. Senthil Kumar,
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The Jensen functional equation in non‐Archimedean normed spaces
Journal of Function Spaces, Volume 7, Issue 1, Page 13-24, 2009., 2009 We investigate the Hyers–Ulam–Rassias stability of the Jensen functional equation in non‐Archimedean normed spaces and study its asymptotic behavior in two directions: bounded and unbounded Jensen differences. In particular, we show that a mapping f between non‐Archimedean spaces with f(0) = 0 is additive if and only if ‖f(x+y2)−f(x)+f(y)2‖→0 as max ...
Mohammad Sal Moslehian, George Isac
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Local stability of the additive functional equation and its applications
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 1, Page 15-26, 2003., 2003 The main purpose of this paper is to prove the Hyers‐Ulam stability of the additive functional equation for a large class of unbounded domains. Furthermore, by using the theorem, we prove the stability of Jensen′s functional equation for a large class of restricted domains.
Soon-Mo Jung, Byungbae Kim
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