Results 31 to 40 of about 466 (74)
Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation
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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A Functional equation related to inner product spaces in non-archimedean normed spaces
Advances in Difference Equations, 2011 In this paper, we prove the Hyers-Ulam stability of a functional equation related to inner product spaces in non-Archimedean normed spaces. 2010 Mathematics Subject Classification: Primary 46S10; 39B52; 47S10; 26E30; 12J25.
shin Dong +4 more
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Demonstratio Mathematica, 2020 In this article, we prove the generalized Hyers-Ulam stability for the following additive-quartic functional equation:f(x+3y)+f(x−3y)+f(x+2y)+f(x−2y)+22f(x)+24f(y)=13[f(x+y)+f(x−y)]+12f(2y),f(x+3y)+f(x-3y)+f(x+2y)+f(x-2y)+22f(x)+24f(y)=13{[}f(x+y)+f(x-y)]
Thanyacharoen Anurak +1 more
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Multi-variable translation equation which arises from homothety
, 2010 In many regular cases, there exists a (properly defined) limit of iterations of a function in several real variables, and this limit satisfies the functional equation (1-z)f(x)=f(f(xz)(1-z)/z); here z is a scalar and x is a vector. This is a special case
A. Mach +8 more
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Nonlinear approximation of an ACQ-functional equation in nan-spaces
Fixed Point Theory and Applications, 2011 In this paper, using the fixed point and direct methods, we prove the generalized Hyers-Ulam stability of an additive-cubic-quartic functional equation in NAN-spaces. Mathematics Subject Classification (2010) 39B52·47H10·26E30·46S10·
Lee Jung +2 more
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Characterization of Classes of Polynomial Functions
, 2014 In this paper some classes of local polynomial functions on abelian groups are characterized by the properties of their variety. For this characterization we introduce a numerical quantity depending on the variety of the local polynomial only.
Almira, J. M., Székelyhidi, L.
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Approximately cubic functional equations and cubic multipliers
Journal of Inequalities and Applications, 2011 In this paper, we prove the Hyers-Ulam stability and the superstability for cubic functional equation by using the fixed point alternative theorem. As a consequence, we show that the cubic multipliers are superstable under some conditions.
Alias Idham +2 more
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On the stability of J$^*-$derivations
, 2009 In this paper, we establish the stability and superstability of $J^*-$derivations in $J^*-$algebras for the generalized Jensen--type functional equation $$rf(\frac{x+y}{r})+rf(\frac{x-y}{r})= 2f(x).$$ Finally, we investigate the stability of $J ...
A. Ebadian +25 more
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Orthogonal Stability of an Additive-Quadratic Functional Equation
Fixed Point Theory and Applications, 2011 Using the fixed point method and using the direct method, we prove the Hyers-Ulam stability of an orthogonally additive-quadratic functional equation in orthogonality spaces. (2010) Mathematics Subject Classification: Primary 39B55; 47H10; 39B52; 46H25.
Park Choonkil
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The generalized fundamental equation of information on symmetric cones
, 2015 In this paper we generalize the fundamental equation of information to the symmetric cone domain and find general solution under the assumption of continuity of respective functions.Comment: 13 pages. arXiv admin note: text overlap with arXiv:1403.0236,
Kołodziejek, Bartosz
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