Results 21 to 30 of about 1,144 (174)
Characterization and Stability of Multimixed Additive-Quartic Mappings: A Fixed Point Application
Journal of Function Spaces, 2021 In this article, we introduce the multi-additive-quartic and the multimixed additive-quartic mappings. We also describe and characterize the structure of such mappings. In other words, we unify the system of functional equations defining a multi-additive-
Abasalt Bodaghi +3 more
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Stability of a Functional Equation Deriving from Cubic and Quartic Functions [PDF]
Abstract and Applied Analysis, 2008 We obtain the general solution and the generalized Ulam‐Hyers stability of the cubic and quartic functional equation 4(f(3x + y) + f(3x − y)) = −12(f(x + y) + f(x − y)) + 12(f(2x + y) + f(2x − y)) − 8f(y)−192f(x) + f(2y) + 30f(2x).
S. Zolfaghari +2 more
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Solution and Stability of Quartic Functional Equations in Modular Spaces by Using Fatou Property
Journal of Function Spaces, 2022 We propose a novel generalized quartic functional equation and investigate its Hyers–Ulam stability in modular spaces using a fixed point technique and the Fatou property in this paper.
N. Uthirasamy +3 more
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ADDITIVE-QUARTIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN ORTHOGONALITY SPACES [PDF]
Korean Journal of Mathematics, 2012 Summary: Using the direct method, we prove the Hyers-Ulam stability of the orthogonally additive-quartic functional equation \[ \begin{aligned} f (2x + y) + f (2x - y) &= 4f (x + y) + 4f (x - y) \\ &+ 10f (x) + 14f (- x) - 3 f (y) - 3 f (- y) \end{aligned}\tag{0.1} \] for all \(x, y\) with \(x \bot y\), in non-Archimedean Banach spaces.
Lee, Hyunju +4 more
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Asymptotic Behavior of Almost Quartic ⁎-Derivations on Banach ⁎-Algebras
Journal of Function Spaces, 2019 The purpose of this paper is to obtain the stability theorems of quartic ⁎-derivations associated with the quartic functional equation f(3x-y)+f(x+y)+6f(x-y)=4f(2x-y)+4f(y)+24f(x) on Banach ⁎-algebras.
Hark-Mahn Kim +2 more
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Stability of Cubic and Quartic Functional Equations in Non-Archimedean Spaces [PDF]
Acta Applicandae Mathematicae, 2009 We prove generalized Hyres-Ulam-Rassias stability of the cubic functional equation $f(kx+y)+f(kx-y)=k[f(x+y)+f(x-y)]+2(k^3-k)f(x)$ for all $k\in \Bbb N$ and the quartic functional equation $f(kx+y)+f(kx-y)=k^2[f(x+y)+f(x-y)]+2k^2(k^2-1)f(x)-2(k^2-1)f(y)$ for all $k\in \Bbb N$ in non-Archimedean normed spaces.
M Eshaghi Gordji, Eshaghi Gordji M
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A FIXED POINT APPROACH TO THE FUZZY STABILITY OF A QUADRATIC-QUARTIC FUNCTIONAL EQUATION
Tạp chí Khoa học Đại học Đà Lạt, 2012 Using fixed point method, we prove the Hyers-Ulam stability of the following quadratic-quartic functional equation f(x + 2y) + f(x - 2y) = 4f(x + y) + 4f(x - y) - 6f(x) + 2f(2y) - 8f(y) in fuzzy Banach ...
Choonkil Park +2 more
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Nearly General Septic Functional Equation
Journal of Function Spaces, 2021 If a mapping can be expressed by sum of a septic mapping, a sextic mapping, a quintic mapping, a quartic mapping, a cubic mapping, a quadratic mapping, an additive mapping, and a constant mapping, we say that it is a general septic mapping.
Ick-Soon Chang, Yang-Hi Lee, Jaiok Roh
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AQCQ-Functional Equation in Non-Archimedean Normed Spaces [PDF]
Abstract and Applied Analysis, 2010 We prove the generalized Hyers-Ulam stability of generalized mixed type of quartic, cubic, quadratic and additive functional equation in non-Archimedean spaces.
M. Eshaghi Gordji +3 more
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STABILITY OF QUARTIC SET-VALUED FUNCTIONAL EQUATIONS
Journal of the Chungcheng Mathematical Society, 2015 Abstract. We will show the general solution of the functionalequationf(x + ay) + f(x ay) + 2(a 2 1)f(x)= a 2 f(x + y) + a 2 f(x y) + 2a 2 (a 2 1)f(y)and investigate the Hyers-Ulam stability of the quartic set-valuedfunctional equation. 1. IntroductionThe theory of set-valued functions in Banach spaces is connected tothe control theory and the ...
Heejeong Koh
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