A new approach to Hyers-Ulam stability of \(r\)-variable quadratic functional equations
From MaRDI portal
Publication:2228053
DOI10.1155/2021/6628733zbMath1458.39023OpenAlexW3124987369MaRDI QIDQ2228053
Porpattama Hammachukiattikul, Vediyappan Govindan, R. Vadivel, N. Gunasekaran, Grienggrai Rajchakit
Publication date: 16 February 2021
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/6628733
Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82)
Related Items
Global exponential stability of both continuous-time and discrete-time switched positive time-varying delay systems with interval uncertainties and all unstable subsystems ⋮ On a fractional problem of Lane-Emden type: Ulam type stabilities and numerical behaviors ⋮ Qualitative analyses of fractional integrodifferential equations with a variable order under the Mittag-Leffler power law ⋮ Equivalence for various forms of quadratic functional equations and their generalized Hyers-Ulam-Rassias stability
Cites Work
- Unnamed Item
- Unnamed Item
- On the stability of set-valued functional equations with the fixed point alternative
- Hyers-Ulam-Rassias stability of the additive-quadratic mappings in non-Archimedean Banach spaces
- Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
- Fuzzy versions of Hyers-Ulam-Rassias theorem
- On single-valuedness of set-valued maps satisfying linear inclusions
- On the Hyers-Ulam stability of the functional equations that have the quadratic property
- On the Hyers-Ulam-Rassias stability of a quadratic functional equation
- On the Hyers-Ulam-Rassias stability of generalized quadratic mappings in Banach modules.
- On the stability of a quadratic Jensen type functional equation
- Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay
- Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness
- Fractional Fourier transform and stability of fractional differential equation on Lizorkin space
- A new approach on the approximate controllability of fractional differential evolution equations of order \(1<r<2\) in Hilbert spaces
- A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems
- Generalized linear differential equation using Hyers-Ulam stability approach
- On the generalized Hyers-Ulam stability of multi-quadratic mappings
- Intuitionistic fuzzy stability of the generalized forms of cubic and quartic functional equations
- Stability of functional equations in non-Archimedean spaces
- On the Stability of the Linear Mapping in Banach Spaces
- On the General Solution of a Quadratic Functional Equation and its Ulam Stability in Various Abstract Spaces
- Stability of functional equations in several variables