Stability of two types of cubic fuzzy set-valued functional equations

Z Wang - Results in Mathematics, 2016 - Springer
This paper considers the Jensen type cubic fuzzy set-valued functional equation and the n-
dimensional cubic fuzzy set-valued functional equation. We establish the Hyers–Ulam …

[HTML][HTML] On the stability of the generalized cubic set-valued functional equation

HY Chu, A Kim, SK Yoo - Applied Mathematics Letters, 2014 - Elsevier
In this article, we focus on the set-valued dynamics related to the theory of functional
equations. We study the n-dimensional cubic set-valued functional equation f (∑ j= 1 n− 1 x …

A New Approach to Hyers‐Ulam Stability of r‐Variable Quadratic Functional Equations

V Govindan, P Hammachukiattikul… - Journal of Function …, 2021 - Wiley Online Library
In this paper, we investigate the general solution of a new quadratic functional equation of
the form∑ 1≤ i< j< k≤ r ϕ li+ lj+ lk= r− 2∑ i= 1, i≠ jr ϕ li+ lj+− r 2+ 32 r−/2∑ i= 1 r ϕ li. We …

On the Stability of Additive, Quadratic, Cubic and Quartic Set-valued Functional Equations.

H Khodaei - Results in Mathematics/Resultate der …, 2015 - search.ebscohost.com
On the Stability of Additive, Quadratic, Cubic and Quartic Set-valued Functional Equations
Page 1 Results. Math. 68 (2015), 1–10 c© 2014 Springer Basel 1422-6383/15/010001-10 …

On a cyclic Jungck modified TS-iterative procedure with application examples

M De la Sen, E Karapinar - Applied Mathematics and Computation, 2014 - Elsevier
This article investigates some convergence properties of quasi-cyclic and cyclic Jungck
modified TS-iterative schemes in complete metric spaces and Banach spaces. The …

On the stability of the generalized Cauchy–Jensen set-valued functional equations

P Kaskasem, C Klin-eam, YJ Cho - Journal of Fixed Point Theory and …, 2018 - Springer
In this paper, we prove the Hyers–Ulam–Rassias stability of the generalized Cauchy–
Jensen set-valued functional equation defined by α f\left (x+ y α+ z\right)= f (x) ⊕ f (y) ⊕ α f …

On the stability of fuzzy set-valued functional equations

M Mursaleen, SA Mohiuddine, KJ Ansari - Cogent Mathematics, 2017 - Taylor & Francis
We introduce some fuzzy set-valued functional equations, ie the generalized Cauchy type
(in n variables), the Quadratic type, the Quadratic-Jensen type, the Cubic type and the Cubic …

[PDF][PDF] The general solution of a quadratic functional equation and Ulam stability

Y Lan, Y Shen - J. Nonlinear Sci. Appl, 2015 - kurims.kyoto-u.ac.jp
In this paper, we investigate the general solution of a new quadratic functional equation. We
prove that a function admits, in appropriate conditions, a unique quadratic mapping …

[PDF][PDF] On the Ulam stability of a quadratic set-valued functional equation

F Wang, Y Shen - J. Nonlinear Sci. Appl, 2014 - emis.de
On the Ulam stability of a quadratic set-valued functional equation Page 1 On the Ulam stability
of a quadratic set-valued functional equation Faxing Wang ∗,a,1, Yonghong Shenb aTongda …

Hyers‐Ulam‐Rassias Stability of Some Additive Fuzzy Set‐Valued Functional Equations with the Fixed Point Alternative

Y Shen, Y Lan, W Chen - Abstract and Applied Analysis, 2014 - Wiley Online Library
Let Y be a real separable Banach space and let (𝒦C (Y), d∞) be the subspace of all normal
fuzzy convex and upper semicontinuous fuzzy sets of Y equipped with the supremum metric …