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 …
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 …
This article investigates some convergence properties of quasi-cyclic and cyclic Jungck modified TS-iterative schemes in complete metric spaces and Banach spaces. The …
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 …
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 …
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 …
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 …
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 …