Characterization, stability and hyperstability of multi-quadratic–cubic mappings
Journal of Inequalities and Applications, 2021 In this paper, we unify the system of functional equations defining a multi-quadratic–cubic mapping to a single equation. Applying a fixed point theorem, we study the generalized Hyers–Ulam stability of multi-quadratic–cubic mappings.
Abasalt Bodaghi, Ajda Fošner
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DC Drive Adaptive Speed Controller Based on Hyperstability Theory
Computation, 2022 The scope of this research is to develop a hyperstable adaptive control system of a direct current (DC) drive speed for effective load torque attenuation.
Anton Glushchenko +2 more
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On an equation characterizing multi-cubic mappings and its stability and hyperstability [PDF]
Fixed Point Theory, 2019 In this paper, we introduce $n$-variables mappings which are cubic in each variable. We show that such mappings satisfy a functional equation. The main purpose is to extend the applications of a fixed point method to establish the Hyers-Ulam stability ...
Abasalt Bodaghi, Behrouz Shojaee
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Hyperstability of the k-Cubic Functional Equation in Non-Archimedean Banach Spaces
Journal of Mathematics, 2020 Using the fixed point approach, we investigate a general hyperstability results for the following k-cubic functional equations fkx+y+fkx−y=kfx+y+kfx−y+2kk2−1fx, where k is a fixed positive integer ≥2, in ultrametric Banach spaces.
Youssef Aribou, Mohamed Rossafi
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Stability and Hyperstability of Ternary Hom-Multiplier on Ternary Banach Algebra
AxiomsIn this article, we investigate the 3D additive-type functional equation. Next, we introduce the ternary hom-multiplier in ternary Banach algebras using the concepts of ternary homomorphisms and ternary multipliers.
Vahid Keshavarz +2 more
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Membrane skeleton hyperstability due to a novel alternatively spliced 4.1R can account for ellipsoidal camelid red cells with decreased deformability. [PDF]
J Biol Chem, 2023 Chen Y +10 more
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Remarks on hyperstability of the Cauchy functional equation [PDF]
Aequationes mathematicae, 2012 We present some simple observations on hyperstability for the Cauchy equation on a restricted domain. Namely, we show that (under some weak natural assumptions) functions that satisfy the equation approximately (in some sense), must be actually solutions to it.
Janusz Brzdȩk
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Interdigitated immunoglobulin arrays form the hyperstable surface layer of the extremophilic bacterium Deinococcus radiodurans [PDF]
, 2022 von Kügelgen A +7 more
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Some hyperstability results for a Cauchy-Jensen type functional equation in 2-Banach spaces
, 2020 In this paper, we investigate some stability and hyperstability results for the following Cauchy-Jensen functional equation in 2-Banach spaces by using Brzdȩk’s fixed point approach.
Khaled Yahya Naif Sayar, Amal Bergam
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On the hyperstability of (m,n)-derivations [PDF]
Fixed Point Theory, 2017 H. Khodaei
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