Stability and Superstability of Ring Homomorphisms on Non-Archimedean Banach Algebras
Abstract and Applied Analysis, 2011 Using fixed point methods, we prove the superstability and generalized Hyers-Ulam stability of ring homomorphisms on non-Archimedean Banach algebras. Moreover, we investigate the superstability of ring homomorphisms in non-Archimedean Banach algebras ...
M. Eshaghi Gordji, Z. Alizadeh
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Superstability of $m$-additive maps on complete non--Archimedean spaces [PDF]
Sahand Communications in Mathematical Analysis, 2015 The stability problem of the functional equation was conjectured by Ulam and was solved by Hyers in the case of additive mapping. Baker et al. investigated the superstability of the functional equation from a vector space to real numbers.In this paper ...
Ismail Nikoufar
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Superstability of differential equations with boundary conditions
Electronic Journal of Differential Equations, 2014 In this article, we establish the superstability of differential equations of second order with boundary conditions or with initial conditions as well as the superstability of differential equations of higher order with initial conditions.
Jinghao Huang +2 more
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Superstability of functional equations related to spherical functions
Open Mathematics, 2017 In this paper we prove stability-type theorems for functional equations related to spherical functions. Our proofs are based on superstability-type methods and on the method of invariant means.
Székelyhidi László
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Stability and Superstability of a Linear Functional Equation on Restricted Domains
Journal of Function SpacesThis paper investigates the Hyers–Ulam stability and superstability of the functional equation fx2+yfz=xfx+zfy for real-valued functions f:R⟶R on some restricted subsets of R.
Abbas Najati +2 more
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Superstability and Stability of the Pexiderized Multiplicative Functional Equation [PDF]
Journal of Inequalities and Applications, 2010 We obtain the superstability of the Pexiderized multiplicative functional equation f(xy)=g(x)h(y) and investigate the stability of this equation in the following form: 1/(1+ψ(x,y))≤f(xy)/g(x)h(y)≤1+ψ(x,y).
Young Whan Lee
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A Fixed Point Approach to Superstability of Generalized Derivations on Non-Archimedean Banach Algebras [PDF]
Abstract and Applied Analysis, 2011 We investigate the superstability of generalized derivations in non-Archimedean algebras by using a version of fixed point theorem via Cauchy functional equation.
M. Eshaghi Gordji +2 more
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Approximately Ternary Homomorphisms on C*-Ternary Algebras [PDF]
Abstract and Applied Analysis, 2013 Gordji et al. established the Hyers-Ulam stability and the superstability of C*-ternary homomorphisms and C*-ternary derivations on C*-ternary algebras, associated with the following functional equation: fx2-x1/3+fx1-3x3/3+f3x1+3x3-x2/3=fx1, by the ...
Eon Wha Shim +4 more
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On the Superstability of the Pexider Type Trigonometric Functional Equation
Journal of Inequalities and Applications, 2010 We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: f(x+y)±g(x−y)=λf(x)g(y) andf(x+y)±g(x−y)=λg(x)f(y), which can be considered ...
Gwang Hui Kim
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Higher Ring Derivation and Intuitionistic Fuzzy Stability [PDF]
Abstract and Applied Analysis, 2012 We take account of the stability of higher ring derivation in intuitionistic fuzzy Banach algebra associated to the Jensen type functional equation. In addition, we deal with the superstability of higher ring derivation in intuitionistic fuzzy Banach ...
Ick-Soon Chang
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