Stability for Functional Equation of Mixed Type in Non-Archimedean Normed Spaces by Ick-Soon Chang, Yang-Hi Lee

“…We take into account the stability of the following functional equation f(x+ay)+f(x-ay)-2f(x)-a2f(y)-a2f(-y)=0 in non-Archimedean normed spaces.…”
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Iterative Construction of Fixed Points for Functional Equations and Fractional Differential Equations by Latif Ur Rahman, Muhammad Arshad, Sabri T. M. Thabet, Imed Kedim

“…This paper proposes some iterative constructions of fixed points for showing the existence and uniqueness of solutions for functional equations and fractional differential equations (FDEs) in the framework of CAT (0) spaces. …”
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Stability of a Functional Equation Deriving from Cubic and Quartic Functions by S. Zolfaghari, A. Ebadian, M. Eshaghi Gordji

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Alienation of the Set-Valued Drygas-Additive and Quadratic-Additive Functional Equations by Elham Mohammadi, Abbas Najati, Iz-iddine EL-Fassi

“…In this paper, the solutions and stability of the Pexiderized set-valued functional equations\begin{align*}    f(x+y)+f(x-y)+g(x+y)&=2f(x)+f(y)+f(-y)+g(x)\\    & \quad +g(y), \\    f(x+y)+f(x-y)+g(x+y)&=2f(x)+2f(y)+g(x)+g(y),\end{align*}are investigated, where $f$ and $g$ are unknown functions  from $G$ to $cc(Y)$.…”
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Some Generalizations of Ulam-Hyers Stability Functional Equations to Riesz Algebras by Faruk Polat

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The Stability of a General Sextic Functional Equation by Fixed Point Theory by Jaiok Roh, Yang-Hi Lee, Soon-Mo Jung

“…In this paper, we will consider the generalized sextic functional equation ∑i=07 7Ci−17−ifx+iy=0. And by applying the fixed point theorem in the sense of Ca˘dariu and Radu, we will discuss the stability of the solutions for this functional equation.…”
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Existence Theorems for Solvability of a Functional Equation Arising in Dynamic Programming by Deepmala

“…The paper deals with the existence, uniqueness, and iterative approximations of solutions for the functional equations arising in dynamic programming of multistage decision making processes in Banach spaces BC(S) and B(S) and complete metric space BB(S), respectively. …”
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On a Functional Equation Associated with (a,k)-Regularized Resolvent Families by Carlos Lizama, Felipe Poblete

“…In this paper, we study the functional equation R(s)(a*R)(t)-(a*R)(s)R(t)=k(s)(a*R)(t)-k(t)(a*R)(s), for bounded operator valued functions R(t) defined on the positive real line ℝ+. …”
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On a functional equation related to a generalization of Flett's mean value theorem by T. Riedel, Maciej Sablik

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Stability of Various Functional Equations in Non-Archimedean Intuitionistic Fuzzy Normed Spaces by Syed Abdul Mohiuddine, Abdullah Alotaibi, Mustafa Obaid

“…Furthermore, by using the non-Archimedean intuitionistic fuzzy normed space, we investigate the stability of various functional equations. That is, we determine some stability results concerning the Cauchy, Jensen and its Pexiderized functional equations in the framework of non-Archimedean IFN spaces.…”
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A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation by Jae-Hyeong Bae, Won-Gil Park

“…We find out the general solution of a generalized Cauchy-Jensen functional equation and prove its stability. In fact, we investigate the existence of a Cauchy-Jensen mapping related to the generalized Cauchy-Jensen functional equation and prove its uniqueness. …”
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Fuzzy Stability of a Functional Equation Deriving from Quadratic and Additive Mappings by Sun Sook Jin, Yang-Hi Lee

“…We investigate a fuzzy version of stability for the functional equation f(2x+y)+f(2x−y)+2f(x)−f(x+y)−f(x−y)−2f(2x)=0 in the sense of Mirmostafaee and Moslehian.…”
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On the existence of classical solutions for differential-functional IBVP by Krzysztof A. Topolski

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Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations in Various Quasinormed Spaces by Heejeong Koh, Dongseung Kang

“…We obtain the general solution of Euler-Lagrange-Rassias quartic functional equation of the following . We also prove the Hyers-Ulam-Rassias stability in various quasinormed spaces when .…”
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A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional Equation by Sun Sook Jin, Yang-Hi Lee

“…We investigate the stability of the functional equation 2𝑓(𝑥+𝑦)+𝑓(𝑥−𝑦)+𝑓(𝑦−𝑥)−3𝑓(𝑥)−𝑓(−𝑥)−3𝑓(𝑦)−𝑓(−𝑦)=0 by using the fixed point theory in the sense of Cădariu and Radu.…”
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Necessary and sufficient conditions for eventually vanishing oscillatory solutions of functional equations with small delays by Bhagat Singh

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Stability of Jensen-Type Functional Equations on Restricted Domains in a Group and Their Asymptotic Behaviors by Jae-Young Chung, Dohan Kim, John Michael Rassias

“…We consider the Hyers-Ulam stability problems for the Jensen-type functional equations in general restricted domains. The main purpose of this paper is to find the restricted domains for which the functional inequality satisfied in those domains extends to the inequality for whole domain. …”
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A FIXED POINT APPROACH TO THE FUZZY STABILITY OF A QUADRATIC-QUARTIC FUNCTIONAL EQUATION by Choonkil Park, Jung Rye Lee, Dong Yun Shin

Subjects: “…Quadratic-quartic functional equation…”
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A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Type Functional Equation by Yang-Hi Lee, Soon-Mo Jung

“…By applying a fixed point approach, we investigate the stability problems for an AQCQ functional equation of the form fx+2y+fx-2y-4fx+y-4fx-y+6fx-f2y-f-2y+4fy+4f-y=0.…”
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Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces by M. Eshaghi Gordji, S. Zolfaghari, J. M. Rassias, M. B. Savadkouhi

“…We obtain the general solution and the generalized Ulam-Hyers stability of the mixed type cubic and quartic functional equation f(x+2y)+f(x−2y)=4(f(x+y)+f(x−y))−24f(y)−6f(x)+3f(2y) in quasi-Banach spaces.…”
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