Results 101 to 110 of about 24,678 (193)
INTUITIONISTIC FUZZY STABILITY OF AN EULER-LAGRANGE TYPE QUARTIC FUNCTIONAL EQUATION
Journal of Applied Analysis & ComputationSummary: In this paper, we investigate the Hyers-Ulam stability of the following Euler-Lagrange type quartic functional equation \[ \begin{aligned} &f(ax+y)+f(x+ay)+\frac{1}{2}a(a-1)^2f(x-y) \\ =&(a^2-1)^2(f(x)+f(y))+\frac{1}{2}a(a+1)^2f(x+y) \end{aligned} \] in intuitionistic fuzzy normed spaces, where \(a\neq 0\), \(a\neq\pm 1\).
Ebadian, Ali, Park, Choonkil
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On the Stability of Cubic Mappings and Quadratic Mappings in Random Normed Spaces
Journal of Inequalities and Applications, 2009 Recently, the stability of the cubic functional equation f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y)+12f(x) in fuzzy normed spaces was proved in earlier work; and the stability of the additive functional equations f(x+y)=f(x)+f(y), 2f((x+y)/2)=f(x)+f(y)
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Journal of Taibah University for ScienceIn the field of functional equations and their solutions, Ulam's stability is an essential concept. This theory examines whether the function approximating a certain functional equation is close to the function that exactly satisfies it.
Ramakrishnan Kalaichelvan +5 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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The Ulam stability of Jensen-Quartic functional equation [PDF]
Proceedings of the 2016 6th International Conference on Machinery, Materials, Environment, Biotechnology and Computer, 2016 Zhenhua Zhang, Aimin Song
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Stability of a mixed type additive and quartic functional equation
Filomat, 2014 In this paper we obtain the general solution of a mixed additive and quartic functional equation. We also prove the Hyers-Ulam stability of this functional equation in random normed spaces.
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On the Stability of Cubic Mappings and Quadratic Mappings in Random Normed Spaces
Journal of Inequalities and Applications, 2008 Recently, the stability of the cubic functional equation in fuzzy normed spaces was proved in earlier work; and the stability of the additive functional equations , in random normed spaces was proved as well. In this paper, we prove the stability of
Cho YJ +4 more
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AIP AdvancesLow lattice thermal conductivity (κl) is a crucial factor for higher figure-of merit and hence the efficiency of thermoelectric generators. There are several reports on intrinsically low κl values in two-dimensional (2D) van der Waals materials using ...
Eesha Andharia +3 more
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Stability of Quartic Functional Equation in Non-Archimedean IFN-Spaces
International Journal of Analysis and ApplicationsIn this work, we focus on the non-Archimedean intuitionistic fuzzy normed framework, specifically on the generalized Ulam stability of quartic functional equations. By combining direct approaches with advanced fixed-point techniques, we prove that quartic-type mappings exist, are unique, and stable, providing strong extensions of Hyers-Ulam-Rassias ...
Kandhasamy Tamilvanan +3 more
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On Approximate
Fixed Point Theory and Applications, 2011 Using fixed point methods, we prove the stability and superstability of -ternary additive, quadratic, cubic, and quartic homomorphisms in -ternary rings for the functional equation , for each .
Cho YJ +3 more
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