[HTML][HTML] Stability Results of Mixed Type Quadratic-Additive Functional Equation in β-Banach Modules by Using Fixed-Point Technique
K Tamilvanan, RT Alqahtani, SA Mohiuddine - Mathematics, 2022 - mdpi.com
We aim to introduce the quadratic-additive functional equation (shortly, QA-functional
equation) and find its general solution. Then, we study the stability of the kind of Hyers-Ulam …
equation) and find its general solution. Then, we study the stability of the kind of Hyers-Ulam …
[PDF][PDF] On the stability of septic and octic functional equations
Y Shen, W Chen - J. Comput. Anal. Appl, 2015 - researchgate.net
On the stability of septic and octic functional equations Page 1 On the stability of septic and octic
functional equations Yonghong Shen1,2,∗, Wei Chen3 1 School of Mathematics and Statistics …
functional equations Yonghong Shen1,2,∗, Wei Chen3 1 School of Mathematics and Statistics …
[PDF][PDF] On the general solution of a quadratic functional equation and its Ulam stability in various abstract spaces
Y Shen, Y Lan - J. Nonlinear Sci. Appl, 2014 - kurims.kyoto-u.ac.jp
On the general solution of a quadratic functional equation and its Ulam stability in various
abstract spaces Page 1 On the general solution of a quadratic functional equation and its Ulam …
abstract spaces Page 1 On the general solution of a quadratic functional equation and its Ulam …
Stability of quadratic and drygas functional equations, with an application for solving an alternative quadratic equation
GL Forti - Handbook of Functional Equations: Stability Theory, 2014 - Springer
The aim of this survey is to present stability results obtained in the last years (roughly after
1995) for the quadratic equation and its various generalizations, and the Drygas equation …
1995) for the quadratic equation and its various generalizations, and the Drygas equation …
[HTML][HTML] A fixed point approach to the Hyers-Ulam stability of an AQ functional equation on β-Banach modules
TZ Xu, JM Rassias - Journal of Inequalities and Applications, 2012 - Springer
In this paper, we establish the general solution and investigate the generalized Hyers-Ulam
stability of the following mixed additive and quadratic functional equation: f (kx+ ly)+ f (kx …
stability of the following mixed additive and quadratic functional equation: f (kx+ ly)+ f (kx …
[HTML][HTML] The fixed point alternative and Hyers-Ulam stability of generalized additive set-valued functional equations
SY Jang - Advances in Difference Equations, 2014 - Springer
We define generalized additive set-valued functional equations, which are related with the
following generalized additive functional equations: f (x 1+⋯+ xl)=(l− 1) f (x 1+⋯+ xl− 1 l− 1)+ …
following generalized additive functional equations: f (x 1+⋯+ xl)=(l− 1) f (x 1+⋯+ xl− 1 l− 1)+ …