Results 21 to 30 of about 439,454 (357)

Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations

Journal of Function Spaces, 2022
The aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi ...
Abasalt Bodaghi, Hossein Moshtagh, Amir Mousivand   +2 more
doaj   +1 more source

Ulam stability of an additive-quadratic functional equation in Banach spaces

Journal of Mathematical Inequalities, 2020
Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the following additive-quadratic functional equation f (x+ y,z+w)+ f (x− y,z−w)−2 f (x,z)−2 f (x,w) = 0.
I. Hwang, Choonkill Park
semanticscholar   +1 more source

Fuzzy Stability of Quadratic Functional Equations [PDF]

Advances in Difference Equations, 2010
The fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated by Moslehian et al. In this paper, we prove the generalized Hyers-Ulam stability of the following quadratic functional equations and    in fuzzy Banach spaces.
Jung Rye Lee, Sun-Young Jang, Dong Yun Shin, Choonkil Park   +3 more
openaire   +4 more sources

Qualitative Aspects of a Fractional-Order Integro-Differential Equation with a Quadratic Functional Integro-Differential Constraint

Fractal and Fractional, 2023
This manuscript investigates a constrained problem of an arbitrary (fractional) order quadratic functional integro-differential equation with a quadratic functional integro-differential constraint. We demonstrate that there is at least one solution x∈C[0,
Carlo Cattani, Rajarama Mohan, S. Chakraverty, A. M. El-Sayed, Antisar A. A. Alhamali, E. Hamdallah, Hanaa R. Ebead   +6 more
semanticscholar   +1 more source

Fuzzy normed spaces and stability of a generalized quadratic functional equation

AIMS Mathematics, 2020
In this paper, we acquire the general solution of the generalized quadratic functional equation \[ \begin{aligned} \sum_{1 \leq a < b < c \leq m}\varphi\left(r_{a}+r_{b}+r_{c}\right)&=(m-2)\sum_{1\leq a < b\leq m}\varphi\left(r_{a}+r_{b}\right) \\ &\quad-
Choonkill Park, K. Tamilvanan, B. Noori, M. B. Moghimi, A. Najati   +4 more
semanticscholar   +1 more source

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

Journal of Function Spaces, 2021
In this paper, we investigate the general solution of a new quadratic functional equation of the form ∑1 ...
Vediyappan Govindan, Porpattama Hammachukiattikul, Grienggrai Rajchakit, Nallappan Gunasekaran, R. Vadivel   +4 more
doaj   +1 more source

Equivalence for Various Forms of Quadratic Functional Equations and Their Generalized Hyers–Ulam–Rassias Stability

International Journal of Mathematics and Mathematical Sciences, 2023
In this manuscript, we study the properties and equivalence results for different forms of quadratic functional equations. Using the Brzdȩk and Ciepliński fixed-point approach, we investigate the generalized Hyers–Ulam–Rassias stability for the 3 ...
Ravinder Kumar Sharma, Sumit Chandok
doaj   +1 more source

Stability Results of Quadratic-Additive Functional Equation Based on Hyers Technique in Matrix Paranormed Spaces

Mathematics, 2022
In this work, we introduce a mixed type of quadratic-additive (QA) functional equation and obtain its general solution. The objective of this work is to investigate the Ulam–Hyers stability of this quadratic-additive (QA) functional equation in matrix ...
Kandhasamy Tamilvanan, Yahya Almalki, Syed Abdul Mohiuddine, Ravi P. Agarwal   +3 more
doaj   +1 more source

Stability of an n-variable mixed type functional equation in probabilistic modular spaces

AIMS Mathematics, 2020
In this research paper, we solve a new n-variable mixed type additive-quadratic functional equation and prove the Ulam stability of the new n-variable mixed type additive-quadratic functional equation in probabilistic modular spaces by using fixed point ...
Murali Ramdoss, Divyakumari Pachaiyappan, Inho Hwang, Choonkil Park   +3 more
doaj   +1 more source

Functional inequalities for generalized multi-quadratic mappings

Journal of Inequalities and Applications, 2021
In this article, we introduce some special several variables mappings which are quadratic in each variable and show that such mappings can be defined as a single equation that is the generalized multi-quadratic functional equation.
Abasalt Bodaghi
doaj   +1 more source